Question
Download Solution PDFदो संख्याओं का अंतर 1564 है। बड़ी संख्या को छोटी संख्या से भाग देने पर भागफल 6 और शेषफल 19 प्राप्त होता है। छोटी संख्या क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दो संख्याओं का अंतर 1564 है।
प्रयुक्त सूत्र:
भाज्य = भाजक × भागफल + शेषफल
गणना:
माना बड़ी संख्या a और छोटी संख्या b है।
इसलिए,
a - b = 1564 ----(1)
पुनः,
a = (b × 6) + 19 = 6b + 19 ----(2)
समीकरण 2 से समीकरण 1 में 'a' का मान रखने पर,
(6b + 19) – b = 1564
⇒ 5b = 1545
⇒ b = 1545/5
⇒ b = 309
इसलिए, छोटी संख्या 309 है।
∴ अभीष्ट उत्तर 309 है।
Last updated on Jul 19, 2025
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