CUET UG 2025 — General Test Quantitative Reasoning

The present ratio of ages of P and Q is 2:7.

Let P's present age = $2x$2x and Q's present age = $7x$7x

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Six years ago:

P's age = $2x - 6$2x−6

Q's age = $7x - 6$7x−6

The ratio 6 years ago was 1:5, so:

$$\frac{2x - 6}{7x - 6} = \frac{1}{5}$$7x−62x−6​=51​

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$$5(2x - 6) = 1(7x - 6)$$5(2x−6)=1(7x−6)

$$10x - 30 = 7x - 6$$10x−30=7x−6

$$10x - 7x = -6 + 30$$10x−7x=−6+30

$$3x = 24$$3x=24

$$x = 8$$x=8

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P's present age = $2x$2x

P's present age = $2 \times 8$2×8

P's present age = $16$16 years