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?

• A. 24
• B. 27
• C. 29
• D. 33

Hint:

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.

Answer 1

The Correct Option is A

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

Answer 2

Let the present ages of Sriyaan and Srihaan be 5x and 4x respectively.

Step 1: Use the condition given for ages after 3 years
After 3 years:
Sriyaan’s age = 5x + 3
Srihaan’s age = 4x + 3
Their age ratio is given as 11:9, so:

(5x + 3) / (4x + 3) = 11 / 9

Step 2: Cross-multiply and solve
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33

Now, subtract 44x from both sides:
x + 27 = 33
x = 6

Step 3: Find Srihaan’s present age
Srihaan’s present age = 4x = 4 × 6 = 24 years

Conclusion:
Srihaan’s present age is 24 years.