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.

Asked by Sakshi | 1 year ago |  185

##### Solution :-

Let Aman's son's age be x years. Therefore, Aman's age will be 3x years. 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 x 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 x 20) years = 60 years

Answered by Aaryan | 1 year ago

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