SOLUTION: Barry is 8 years older than his sister. In3years, he will be twice as old as she will be then. How old is each now?<br>

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Question 1116422: Barry is 8 years older than his sister. In3years, he will be twice as old as she will be then. How old is each now?


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


If he is 8 years older, then he will be twice as old when he is 16 and his sister is 8. Since that will be 3 years from now, he is now 13.

Algebraically....

let x be his current age
then x-8 is his sister's age
in 3 years his age will be x+3; his sister's age will be x-8+3 = x-5
then the problem says his age in 3 years will be twice his sister's age then:

x%2B3+=+2%28x-5%29
x%2B3+=+2x-10
13+=+x