SOLUTION: Ravi is 19 years older than his cousin.after 5 years,their ages will be in ratio 2:3. Find their present ages

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Question 1149452: Ravi is 19 years older than his cousin.after 5 years,their ages will be in ratio 2:3. Find their present ages
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Which way do you mean the ratio? Ravi : Cousin, or Cousin : Ravi, as 2:3 ?

Cousin, 33
Ravi, 14

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


We know the ratio of their ages in 5 years will be 2:3; and we know Ravi is older. So

let 3x = Ravi's age 5 years from now
let 2x = his cousin's age 5 years from now

The different in their ages -- both now and 5 years from now -- is 19 years. So

3x-2x+=+19
x+=+19

5 years from now, their ages will be

Ravi: 3x = 57
cousin: 2x = 38

So their ages now are

Ravi 52
cousin 33