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amans age is 3 times his sons age.ten years ago he was 5 times his sons age.find their present ages
Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

Answer

Let Aman’s son’s age be x years. Therefore, Aman’s age will be 3xyears. Ten years ago, their age was (x ? 10) years and (3x ? 10) years respectively.

According to the question,

10 years ago, Aman’s age = 5 × Aman’s son’s age 10 years ago

3x ? 10 = 5(x ? 10)

3x ? 10 = 5x ? 50

Transposing 3x to R.H.S and 50 to L.H.S, we obtain

50 ? 10 = 5x ? 3x

40 = 2x

Dividing both sides by 2, we obtain

20 = x

Aman’s son’s age = x years = 20 years

Aman’s age = 3x years = (3 × 20) years = 60 years


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