Hi,

Funny enough, I just encountered this puzzle in a video game. The game said

this problem could be solved with algebra; I tried but couldn’t solve it like that.

It’s an easy puzzle when you think about it, but I think

using algebra would be very tedious. Nonetheless, I’m curious

to know how it would be solved that way.

A boy and his sister. When you subtract two from the boy’s real age and add two to his sister’s age, his sister

becomes twice his NEW (subtracted) age. If you subtract three from his real age instead and add three to his sister then she becomes thrice his NEW (subtracted) age. What are their real ages?

The answer for both brother and sister is 6 years (real ages). How would you solve

it with algebra.