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Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence

🗓 Apr 2, 2025

Answer is "26:33"

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Richa - IIT 🌐 India
Let ages of Ramu and Shyam be x and y respectively.
x/y = 3/4
=> x = 3/4 y(x- 7)/(y - 7) = 2/3
=> 3x - 21 = 2y - 14 => 3x = 2y + 7
But x = 3/4
y3 * 3/4 y = 2y + 79y = 8y + 28
=> y = 28years=> x = 21 years
Ratio of their ages five years hence,
(21 + 5)/(28 + 5)
= 26/33.
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