The ratio of ages of two friends P and Q, four years ago, was 4 : 5. Eight year hence, the ratio of the ages of P and Q will be 11 : 13 . What is the ratio of their present ages ?
Answer & explanation
Correct answer: option 1
4 years ago , ratio of A and B
A : B
4 : 5
present age of A = 4x + 4 , present age of B = 5x + 4
according to question , after 8 years
A : B
11 : 13
i.e. \(\frac{4x\;+\;12}{5x\;+\;12}\) = \(\frac{11}{13}\)
52x + 156 = 55x + 132
3x = 24
x = 8
present age of A = 4x + 4
so, P's age ( present ) = 32 + 4 = 36
Q's age ( present ) = 40 + 4 =44
P : Q
Ratio → 36 : 44
9 : 11