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प्रश्न
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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उत्तर
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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