The ratio of the son’s age to the father’s age is 1 ∶ 4. The product of their ages is 196. The ratio of their ages after 5 years will be?

A. 4 ∶ 13
B. 3 ∶ 10
C. 4 ∶ 11
D. 5 ∶ 14

Show Answer…...Hide Answer

Explanation:

Math MCQ: Ratio of Ages After 5 Years
Let’s solve the problem step by step.

Given:
The ratio of son’s age to father’s age = 1 ∶ 4
The product of their ages = 196

Let “x” represent the age of the son, and “4x” represent the age of the father since the ratio of their ages is 1 ∶ 4.

According to the given information, their ages’ product is 196:

⇒ x × 4x = 196
⇒ 4x² = 196
⇒ x² = 49 Taking the square root of both sides:
⇒ x = √49
⇒ x = 7

So, the present age of the son is 7 years, and the present age of the father is 4x = 4 * 7 = 28 years.

Now, let’s find their ages after 5 years:

⇒ Son’s age after 5 years = 7 + 5 = 12 years
⇒ Father’s age after 5 years = 28 + 5 = 33 years

The ratio of their ages after 5 years is:

⇒ Age of Son : Age of Father = 12 ∶ 33

To simplify the ratio, we can divide both sides by their common factor, which is 3:

⇒ Age of Son : Age of Father = 4 ∶ 11

Therefore, the ratio of the son’s age to the father’s age after 5 years will be 4 ∶ 11.

Click Here for Online MCQs Quiz Now Click Here toSubmit MCQs Log In Register if you don't have an Account. ⌊ ❏ Compulsory MCQs ⌋  ⌊ ❐ Optional MCQs ⌋  ⌊❑ Online Quiz ⌋  ⌊ ❒ CSS Syllabus 2025 ⌋  ⌊❐ Past Paper MCQs ⌋ ⌊

Home