The ratio of the present ages of Suresh and his daughter is 2 : 1. Six years hence, the ratio of their ages would be 23 : 13. Find the present age of Suresh?

Bijay Kumar • 5.24K Points
Tutor III Math

Q. The ratio of the present ages of Suresh and his daughter is 2 : 1. Six years hence, the ratio of their ages would be 23 : 13. Find the present age of Suresh?

(A) 35 years
(B) 40 years
(C) 45 years
(D) 50 years

Correct Answer - Option(B)

Explanation by: Bijay Kumar

Let the present ages of Suresh and his daughter be 2x and x years respectively; then
According to question,
Six years hence, the ratio of their ages would be 23 : 13
(2x + 6) / (x + 6) = 23/13
⇒ (2x + 6) 13 = 23 (x + 6)
⇒ 26x + 78 = 23x + 138
⇒ 3x = 60
∴ x = 20
Hence, present age of Suresh = 2 x 10 = 40 years

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