Question

The ratio of ages of two boys is 4 : 5. If the difference between the sum of their ages and difference of their ages is 32 years, then find the age of the elder boy?

• A. 20 years
• B. 25 years
• C. 30 years
• D. 35 years

Answer 1

Answer:

A. 20 years

Let the ages of two boys be 4x and 5x Sum of their ages = 4x + 5x = 9x Difference between their ages = 5x - 4x = x The difference between the sum of their ages and the difference in their ages is 32 years 9x – x = 8x ⇒ 8x = 32 ⇒ x = 4 ⇒ 5x = 5 × 4 = 20 years ⇒ 4x = 4 × 4 = 16 years