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If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52, what is the ratio of their present ages ?

Correct Answer: 6 : 7
Let age of P = 5x
and age of Q = 6x
According to the question,
(5x + 4) + (6x + 4) = 52
11x = 44
x = 4
Present age of P = 5x + 4 = 5 × 4 + 4 = 24
Present age of Q = 6x + 4 = 6 × 4 + 4 = 28
$$\eqalign{ & \therefore {\text{Required ratio}} \cr & {\text{ = }}\frac{{24}}{{28}} \cr & = \frac{6}{7} \cr & = 6:7 \cr} $$

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