SOLUTION: Raju is 19yrs younger than his cousin. After 5 yrs their ages will be the ratio 2:3. Find their ages

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Question 360645: Raju is 19yrs younger than his cousin. After 5 yrs their ages will be the ratio 2:3. Find their ages
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
*Note: Raju was and always will be 19 year younger than his cousin
Let x represent his cousin's age, then Raju's age is (x-19)
write as we read (in 5 years...)***

cross multiply to solve
2x = 3(x-19)
solve for x (cousin's age in 5 years)
2x = 3x - 57
57 =x (cousin's age in 5 years)
cousin is now 52 and Raju is 33 (52-19)
checking our answer
38/57 = 2/3
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