Question
12 years ago, the ratio of the ages of Ivan and Jenny
was 2:1. The present age of Carl is 18 years more than one-sixth of Jenny’s present age. Find the ratio of the present age of Carl and Ivan if Ivan’s age in 6 years will be 42 years.Solution
Ivan and Jenny's ages 12 years ago = 2x and x Present ages = 2x + 12, x + 12 Ivan's present age = 42 - 6 = 36 years → 2x = 36 - 12 = 24 → x = 12 Jenny's present age = 12 + 12 = 24 Carl's present age = (1/6) * 24 + 18 = 22 years Required ratio = 22:36 = 11:18
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