The son was born when his mother was 28 years old. The father is older to the mother by 4 years. If the current ages of the father and mother are in the ratio 9 : 8, what is the current age (in years) of the son? 

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CSIR-UGC (NET) Mathematical Science: Held on (2024 June)
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Answer (Detailed Solution Below)

Option 3 : 4
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Explanation:

The son was born when the mother was 28 years old, the father is 4 years older than the mother,

the current ages of the father and mother are in the ratio 9:8. We need to find the current age of the son.

Let the current age of the mother be \(8x \) years.

Then, the current age of the father will be \(9x \) years (since their ages are in the ratio of 9:8).

From the problem, we know the father is 4 years older than the mother. Therefore,

\(9x \) = \(8x \) + 4

⇒ \(x = 4\)

Mother’s current age = \(8x = 8 \times 4 = 32 \) years.

Father’s current age =\( 9x = 9 \times 4 = 36\) years.

The son was born when the mother was 28 years old. The mother is currently 32 years old.

The son is currently 4 years old, so the correct answer is Option 3).

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