CUET CUET General Test 2024 - The present age of Harish is 8 times the sum of the ages of his two sons at present. After 8 years, his age will be 2 times the sum of the ages of his two sons. The present age of Harish (in years) is: | PYQs + Solutions

CUET General Test 2024

Arithmetic

Ratio, Proportion & Variation

Medium

The present age of Harish is 8 times the sum of the ages of his two sons at present. After 8 years, his age will be 2 times the sum of the ages of his two sons. The present age of Harish (in years) is:

Correct Option: 2

Let Harish's present age be

H

and the sum of the ages of his two sons be

S

From the first condition, we have:

H = 8S

After 8 years, Harish's age will be

H + 8

, and the sum of his sons' ages will be

S + 16

From the second condition, we have:

H + 8 = 2(S + 16)

Substituting

H

from the first equation into the second:

8S + 8 = 2(S + 16)

Expanding and simplifying:

8S + 8 = 2S + 32

6S = 24

S = 4

Now substituting back to find

H

H = 8S = 8 \times 4 = 32

Thus, the present age of Harish is

32

years.