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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. - Mathematics

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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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 × 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

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 2 Linear Equations in One Variable
Exercise 2.4 | Q 10 | Page 32
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