# math

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this year Ben is 4/7 as old Glen. Fifteen years fromnow Ben will be 3/4 as old as Glen. At that time he sum of thier ages will be 63. How old are Ben and Glen now?

• math -

let Glen's present age be x
then Ben's present age is 4x/7

in 15 years:
Glen will be x+15
Ben will be 4x/7 + 15

We are told
x+15 + 4x/7+15 = 63
7x + 105 + 4x + 105 = 441
11x = 441 - 210
11x = 231
x = 21

So Glen is now 21 and Ben is now 12

The fact that "Fifteen years fromnow Ben will be 3/4 as old as Glen" was not needed, but confirms our answer.

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