Question

The average age of a woman and her daughter is 46 years. The ratio of their present ages is 15 : 8 respectively. What will be the respective ratio of their ages after 8 years?

• A. 8 : 5
• B. 10 : 17
• C. 17 : 10
• D. 5 : 8
• E. None of these

Answer 1

The correct option is C

17 : 10

Let the present ages of the woman and her daughter be 15x and 8x years, respectively

From the question, 15x + 8x = 2 × 46

→ 23x = 92

→ x = $\frac{92}{23}$ = 4

Now, required ratio = (15x+ 8) : (8x + 8)

= $(15\times 4+8):(8\times 4+8)$

= 68 : 40 = 17 : 10