CUET UG 2025 — General Test Quantitative Reasoning

Let the son's present age be $x$x years and the father's present age be $y$y years.

The father's present age is 4 years more than double the son's age:

$y = 2x + 4$y=2x+4 ... (1)

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After 10 years, the father's age will be $y + 10$y+10 and the son's age will be $x + 10$x+10.

The father's age will be 30 years more than the son's age:

$$y + 10 = (x + 10) + 30$$y+10=(x+10)+30

$$y + 10 = x + 40$$y+10=x+40

$y = x + 30$y=x+30 ... (2)

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From equations (1) and (2):

$$2x + 4 = x + 30$$2x+4=x+30

$$2x - x = 30 - 4$$2x−x=30−4

$$x = 26$$x=26

The son's present age is 26 years.

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Substituting $x = 26$x=26 in equation (1):

$$y = 2(26) + 4$$y=2(26)+4

$$y = 52 + 4$$y=52+4

$$y = 56$$y=56

Therefore, the present age of the father is 56 years.