Question:

The present ages of Sriyaan and Srihaan are in the ratio of 5:4 respectively. After three years the ratio of their ages will become 11:9 respectively. What is Srihaan’s present age in years?

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When solving age problems, start by expressing the ages in terms of a variable and use the given conditions to set up an equation to solve for the variable.
Updated On: Apr 3, 2025
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The Correct Option is A

Solution and Explanation

Let the present age of Sriyaan be 5x 5x and the present age of Srihaan be 4x 4x , where x x is a constant.
After 3 years, their ages will be 5x+3 5x + 3 and 4x+3 4x + 3 respectively.
We are given that the ratio of their ages after 3 years is 11:9, so: 5x+34x+3=119 \frac{5x + 3}{4x + 3} = \frac{11}{9} Cross-multiply to solve for x x : 9(5x+3)=11(4x+3) 9(5x + 3) = 11(4x + 3) 45x+27=44x+33 45x + 27 = 44x + 33 45x44x=3327 45x - 44x = 33 - 27 x=6 x = 6 Thus, Srihaan’s present age is 4x=4×6=24 4x = 4 \times 6 = 24 years.
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