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Ratio of present ages of A and B is 4 : 5 and the ratio of present ages of A and C is 8 : 9. If the difference between the ages of A and C is 3 years, then what will be the sum of the ages of A, B and C after 7 years?

Ratio of present ages of A and B is 4 : 5 and the ratio of present ages of A and C is 8 : 9. If the difference between the ages of A and C is 3 years, then what will be the sum of the ages of A, B and C after 7 years? Correct Answer 102

Given:

Ratio of A : B = 4 : 5 and A : C = 8 : 9,

Difference between the ages of A and C is 3 years.

Calculation:

ATQ,

A : B : C = 8 : 10 : 9

let the present ages of A, B and C be 8X,

10X and 9X respectively.

The difference b/w C - A = 3 years

9X - 8X = 3

X = 3

Then the sum of the ages of A, B and C

after 7 years:

(A + 7) + (B + 7) + (C + 7)

(A + B + C) + 21

⇒ (8X + 10X + 9X) + 21 

⇒ 27X + 21

⇒ 27 × 3 + 21

⇒ 102 years

 

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