Question 10
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 the present age of Aman’s son be xyears.
Therefore,Aman’s age = 3x years

According to question,
$3 x - 10 = 5 (x - 10)$
$\Rightarrow 3 x - 10 = 5 x - 50$
$\Rightarrow 3 x - 5 x = - 50 + 10$
$\Rightarrow - 2 x = - 40$
$\Rightarrow x = \frac{- 40}{- 2} y e a r s$

Hence, Aman’s son’s age = 20 years and
Aman’s age = 3 x 2= 60 years

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Linear Equation in One Variable

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Question 10 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.

Let the present age of Aman’s son be xyears. Therefore,Aman’s age = 3x years According to question, 3x−10=5(x−10) ⇒3x−10=5x−50 ⇒3x−5x=−50+10 ⇒−2x=−40 ⇒x=−40−2years Hence, Aman’s son’s age = 20 years and Aman’s age = 3 x 2= 60 years

Question 10
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.