Verified by Ajay Kumar
Two numbers are in the ratio 5:8. If 12 is added to each number, the new ratio becomes 11:17. What is the sum of the original two numbers?
412
276
350
312
Answer: D
Let the numbers be 5x and 8x. Then (5x+12)/(8x+12)=11/17. Solving gives 85x+204=88x+132, so x=24. Their sum is 13x=312.
दो संख्याएँ 5:8 के अनुपात में हैं। यदि प्रत्येक संख्या में 12 जोड़ दिया जाए, तो नया अनुपात 11:17 हो जाता है। मूल दोनों संख्याओं का योग क्या है?
412
276
350
312
उत्तर: D
माना संख्याएँ 5x और 8x हैं। तब (5x+12)/(8x+12)=11/17। हल करने पर x=24 मिलता है। मूल संख्याओं का योग=13x=312।
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