Posted by **brooke** on Sunday, January 24, 2010 at 7:33pm.

If Kurt were 10 years old, he would be twise as old as his sister, and their combine ages would be 36. How old are Kurt and his sister?

- algebra -
**Reiny**, Sunday, January 24, 2010 at 8:24pm
Did you mean "If Kurt was 10 years older" ?

The way you have it, Kurt is 10, his sister would have to be 5, but then their combined ages can't be 36

If as I think it should be,

let Kurt's present age be x

let his sister's present age by y

in 10 years ...

Kurt = x+10

sister = y +10

we are told that Kurt is twice her age at that time ...

x+10 = 2(y+10)

x = 2y + 10

also x+10 + y+10 = 36

x + y = 16

sub in x = 2y+10

2y+10 + y = 16

3y = 6

y = 2 , then x = 14

.

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