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Question
After 32 years, Rahim will be 5 times as old as he was 8 years ago. How old is Rahim today?
Solution
Let the present age of Rahim be x years.
After 32 years:
Rahim's age = (x + 32) years
8 years ago:
Rahim's age = (x − 8) years
According to the question:
x + 32 = 5(x − 8)
or, x + 32 = 5x − 5 × 8
or, x + 32 = 5x − 40
or, 40 + 32 = 5x - x [Transposing 'x' to the R.H.S. and 40 to the L.H.S.]
or, 72 = 4x
or, `(4x)/4=72/4` [Dividing both the sides by 4]
or, x = 18
Thus, the present age of Rahim is 18 years.
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