Question
7 years ago, the ratio of the ages of Pia and Qasim was 9:7. The present age of Tom is 20 years more than one-seventh of Qasim’s present age. Find Tom's present age if Pia’s age in 4 years will be 38 years.
Solution
Pia and Qasim's ages 7 years ago = 9x and 7x Present ages = 9x + 7, 7x + 7 Pia's present age = 38 – 4 = 34 years → 9x = 34 – 7 = 27 → x = 3 Qasim's present age = 7(3) + 7 = 28 years Tom's present age = (1/7) * 28 + 20 = 24 years
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