Question
The ratio of Sohan’s age 6 years ago to Meera’s age 6 years hence is 3:7. If the average of their present ages is 50 years, what is the difference between their present ages?
Solution
Given Data: Ratio of Sohan’s age 6 years ago to Meera’s age 6 years hence = 3:7 Average of their present ages = 50 years
Form Equations: From ratio: 
From average: 
Solve for S and M: From Eq. 2: M = 100 − S, substitute in Eq. 1 
So, M = 100 − 36 = 64 Hence, the Age Difference = M − S = 64 − 36 = 28
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