Question

The age of a man is 24 years more than the age of his son. If the sum of their ages is 50 years, find the age of the son and his father

• A. 13 years and 37 years
• B. 11 years and 39 years
• C. 10 years and 40 years
• D. 15 years and 35 years

Answer 1

The correct option is A 13 years and 37 years

Given, Age of a man is 24 years more than the age of his son Sum of their ages = 50 years Let us assume the age of son is x Hence, Age of son = x years Age of father = x + 24 To find the value of x, x + x + 24 = 50 2x + 24 = 50 2x = 50 – 24 2x = 26 x = 26/2 We get, x = 13 Thus age of son = 13 years Age of father = x + 24 Substituting the value of x, we get = 13 + 24 = 37 years Hence, the age of father is 37 years. Therefore, the age of son is 13 years and the age of father is 37 years