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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.

Monjur Alahi

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.


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Salim Ahmed Kawsar

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Son age be x
Aman age is 3x
ten years ago
son age x-10
aman age 3x -10
A/Q
5(x-10) = 3x -10
 5x -50 = 3x - 10
2x = 40
x =20
3x=60

son present age =20
aman present age = 60

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Salim Ahmed Kawsar

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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 × 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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Salim Ahmed Kawsar

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present age of aman=3x
present age of his son=x
According to Question
3x-10=5(x-10)
3x-10=5x-50
2x=40
x=20 years
present age of aman = 3x=3*20= 60years
present age of his son=x=20 years.

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