The ratio between two numbers is 19 : 24.
दो संख्याओं के बीच का अनुपात 19 : 24 है। यदि प्रत्येक संख्या में से 36 घटा दिया जाए, तो अनुपात 3 : 4 हो जाता है। संख्याओं का योग ज्ञात कीजिए।
The ratio between two numbers is 19 : 24. If each number is reduced by 36, the ratio becomes 3 : 4. Find the sum of the numbers.
The ratio between two numbers is 19 : 24. If each number is reduced by 36, the ratio becomes 3 : 4. Find the sum of the numbers.
Detailed Solution & Logic
Correct Answer:
387
Let the numbers be $ 19x \text{ and } 24x$
According to the question: $ \dfrac{19x - 36}{24x - 36} = \dfrac{3}{4} $
$4(19x - 36) = 3(24x - 36) $
$76x - 144 = 72x - 108 $
$4x = 36 $
$ x = 9 $
Numbers are $19x = 171 \text{ and } 24x = 216$
Sum = 171 + 216 = 387
Answer = 387
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