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Question
Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of this mother’s present age. What are their present ages?
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Solution
Let Shobo’s age be x years. Therefore, his mother’s age will be 6x years.
According to the given question,
After 5 years Shobo's age = `"Shobo's mother's present age"/3``
`x + 5 = (6x)/3`
x + 5 = 2x
Transposing x to R.H.S, we obtain
5 = 2x − x
5 = x
6x = 6 × 5 = 30
Therefore, the present ages of Shobo and Shobo’s mother will be 5 years and 30 years respectively.
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