Question

At present, Father's Age is 7 times of his son's age. 5 years from now, the ratio of the ages of father and son will be 11:3 respectively. Find the sum of age of both at present.

• A. 30 Years
• B. 49 Years
• C. 88 Years
• D. 32 Years

Hint:

Separate Wajid's commission from his profit-sharing portion before finding Sajid's share.

Answer 1

The Correct Option is D

Let the son's present age be \(x\), which makes the father's present age \(7x\). Five years from now their ages become \(x+5\) and \(7x+5\), and the ratio between them is given as 11:3: \(\dfrac{7x+5}{x+5} = \dfrac{11}{3}\).
Cross-multiplying gives \(21x+15=11x+55\), which simplifies to \(10x=40\), so \(x=4\).
That makes the son 4 and the father 28, so their present ages add up to 32 years, matching option 4.