{"id":115753,"date":"2025-12-12T03:00:30","date_gmt":"2025-12-11T21:00:30","guid":{"rendered":"https:\/\/sarakhon.com\/?p=115753"},"modified":"2025-12-11T16:48:51","modified_gmt":"2025-12-11T10:48:51","slug":"%e0%a6%aa%e0%a7%8d%e0%a6%b0%e0%a6%be%e0%a6%9a%e0%a7%80%e0%a6%a8-%e0%a6%ad%e0%a6%be%e0%a6%b0%e0%a6%a4%e0%a7%87-%e0%a6%97%e0%a6%a3%e0%a6%bf%e0%a6%a4%e0%a6%9a%e0%a6%b0%e0%a7%8d%e0%a6%9a%e0%a6%be-332","status":"publish","type":"post","link":"https:\/\/sarakhon.com\/?p=115753","title":{"rendered":"\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e9\u09ef)"},"content":{"rendered":"<p><strong>63x = 10y &#8211; 9 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u099f\u09bf \u09a5\u09c7\u0995\u09c7 \u098f\u0995\u099c\u09cb\u09dc\u09be \u09ac\u09c0\u099c 27 \u098f\u09ac\u0982 171 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09df\u0964<\/strong><\/p>\n<p>\u098f\u0996\u09a8 27 \u2261 7(mod 10),\u00a0 \u00a0 \u00a0171 \u2261 45 (mod 63)<\/p>\n<p>\u0985\u09a4\u098f\u09ac 63x = 10y &#8211; 9 \u098f\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u099f \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u0985\u0996\u09a3\u09cd\u09a1 \u09ac\u09c0\u099c\u09a6\u09cd\u09ac\u09df 7 \u098f\u09ac\u0982 45 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u099a\u09cd\u099b\u09c7\u0964<\/p>\n<p>63x = 10y + 9 \u098f\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u099f \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u0985\u0996\u09a3\u09cd\u09a1 \u09ac\u09c0\u099c\u09a6\u09cd\u09ac\u09df \u09b9\u099a\u09cd\u099b\u09c7<\/p>\n<p>(10-7) \u098f\u09ac\u0982 (63-45) \u09ac\u09be 3 \u098f\u09ac\u0982 18.<\/p>\n<p>6&#8242; \u00d7 x = 100y + 90 \u098f\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u099f \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u09ac\u09c0\u099c\u09a6\u09cd\u09ac\u09df \u09b9\u099a\u09cd\u099b\u09c7<\/p>\n<p>x = 3 \u00d7 10 = 30\u00a0 ,\u00a0 y = 18<\/p>\n<p>(\u0999\u09e9) \u09ad\u09be\u099c\u0995 \u098f\u09ac\u0982 \u0995\u09cd\u09b7\u09c7\u09aa \u09a5\u09c7\u0995\u09c7 G. C. M. 9 \u0985\u09aa\u09b8\u09be\u09b0\u09a3 \u0995\u09b0 \u09a4\u09be\u09b9\u09b2\u09c7 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09ac\u09c7<\/p>\n<p>\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09ad\u09be\u099c\u0995-7<\/p>\n<p>&#8221;\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u09ad\u09be\u099c\u09cd\u09af=100<\/p>\n<p>&#8221;\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0995\u09cd\u09b7\u09c7\u09aa = 10<\/p>\n<p>\u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09a8\u09c1\u09af\u09be\u09df\u09c0 \u098f\u0995\u099f\u09bf \u09b6\u09c3\u0999\u09cd\u0996\u09b2 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09ac\u09c7\u0964<\/p>\n<p>14 -&gt; 14\u00d7 30 + 10 = 430<\/p>\n<p>3 &#8211; 3 \u00d7 10 + 0 = 30<\/p>\n<p>10<\/p>\n<p>0<\/p>\n<p>\u098f\u0996\u09be\u09a8\u09c7 \u09af\u09c1\u0997\u09cd\u09ae (2) \u09b8\u0982\u0996\u09cd\u09af\u0995 \u09ad\u09be\u0997\u09ab\u09b2 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u099a\u09cd\u099b\u09c7\u0964<\/p>\n<p>\u0985\u09a4\u098f\u09ac 7x=100y+10 \u098f\u09b0 430 \u098f\u09ac\u0982 30 \u098f\u0995\u099c\u09cb\u09dc\u09be \u09ac\u09c0\u099c \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09df\u0964<\/p>\n<p>\u098f\u0996\u09a8 43030 (mod 100), 302 (mod 7)<\/p>\n<p>\u0985\u09a4\u098f\u09ac \u0989\u0995\u09cd\u09a4 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7\u09b0 30 \u098f\u09ac\u0982 2 \u09b2\u0998\u09bf\u09b7\u09cd\u099f \u09ac\u09c0\u099c\u09a6\u09cd\u09ac\u09df\u0964 \u0985\u09a4\u098f\u09ac \u0986\u09a6\u09bf \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7\u09b0 \u09ac\u09c0\u099c\u09a6\u09cd\u09ac\u09df 30 \u098f\u09ac\u0982 18 1<\/p>\n<p>(\u0999\u09ea) \u0995\u09cd\u09b7\u09c7\u09aa \u098f\u09ac\u0982 \u09ad\u09be\u099c\u0995 \u09a5\u09c7\u0995\u09c7 G. C. M9 \u0985\u09aa\u09b8\u09be\u09b0\u09a3 \u0995\u09b0\u0964 \u098f\u09ac\u0982 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u0995\u09cd\u09b7\u09c7\u09aa \u098f\u09ac\u0982 \u09ad\u09be\u099c\u09cd\u09af \u09a5\u09c7\u0995\u09c7 G. C.M 10 \u0985\u09aa\u09b8\u09be\u09b0\u09bf\u09a4 \u0995\u09b0\u0964 \u09a4\u09be\u09b9\u09b2\u09c7 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09df<\/p>\n<p>\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09ad\u09be\u099c\u0995 =7<br \/>\n&#8221;\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u09ad\u09be\u099c\u09cd\u09af=10<br \/>\n&#8221;\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0995\u09cd\u09b7\u09c7\u09aa=1<\/p>\n<p>\u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u0995\u09cd\u09b7\u09c7\u09aa-1, \u0985\u09a4\u098f\u09ac \u09ac\u09be\u0995\u09c0 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf \u0998&#8217;\u098f\u09b0 \u0985\u09a8\u09c1\u09b0\u09c2\u09aa\u0964<\/p>\n<p><strong>(\u099a\u09b2\u09ac\u09c7)<\/strong><\/p>\n<h4 class=\"single-page-title\">\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e9\u09ee)<\/h4>\n<blockquote class=\"wp-embedded-content\" data-secret=\"XchpKf4h1l\"><p><a href=\"https:\/\/sarakhon.com\/?p=115525\">\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e9\u09ee)<\/a><\/p><\/blockquote>\n<p><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e9\u09ee)&#8221; &#8212; Sarakhon \u0964 \u09b8\u09be\u09b0\u09be\u0995\u09cd\u09b7\u09a3\" src=\"https:\/\/sarakhon.com\/?p=115525&#038;embed=true#?secret=MNtmNFZ9E6#?secret=XchpKf4h1l\" data-secret=\"XchpKf4h1l\" width=\"500\" height=\"282\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>63x = 10y &#8211; 9 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u099f\u09bf \u09a5\u09c7\u0995\u09c7 \u098f\u0995\u099c\u09cb\u09dc\u09be \u09ac\u09c0\u099c 27 \u098f\u09ac\u0982 171 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09df\u0964 \u098f\u0996\u09a8 27 \u2261 7(mod 10),\u00a0 \u00a0 \u00a0171 \u2261 45 (mod 63) \u0985\u09a4\u098f\u09ac 63x = 10y &#8211; 9 \u098f\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u099f \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u0985\u0996\u09a3\u09cd\u09a1 \u09ac\u09c0\u099c\u09a6\u09cd\u09ac\u09df 7 \u098f\u09ac\u0982 45 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u099a\u09cd\u099b\u09c7\u0964 63x = 10y + 9 \u098f\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u099f \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u0985\u0996\u09a3\u09cd\u09a1 \u09ac\u09c0\u099c\u09a6\u09cd\u09ac\u09df \u09b9\u099a\u09cd\u099b\u09c7 (10-7) \u098f\u09ac\u0982 (63-45) [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":115760,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[38,17],"tags":[],"location":[],"class_list":["post-115753","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-38","category-17"],"cmb2":{"heading_information":{"sub_title":""},"reporter_information":{"video":"","reporter_name":"\u09aa\u09cd\u09b0\u09a6\u09c0\u09aa \u0995\u09c1\u09ae\u09be\u09b0 \u09ae\u099c\u09c1\u09ae\u09a6\u09be\u09b0"},"audio_information":{"audio_link":"","audio_link_id":""},"seo_information":{"meta_keyword":""}},"_links":{"self":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/115753","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=115753"}],"version-history":[{"count":2,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/115753\/revisions"}],"predecessor-version":[{"id":115763,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/115753\/revisions\/115763"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/media\/115760"}],"wp:attachment":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=115753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=115753"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=115753"},{"taxonomy":"location","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Flocation&post=115753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}