SOLUTION: The sum of the ages of two cosins is 15. In 3 years the older cousin will be twice as old as the younger cousin. How old is the cousin now?

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Question 1049918: The sum of the ages of two cosins is 15. In 3 years the older cousin will be twice as old as the younger cousin. How old is the cousin now?
Found 2 solutions by jorel555, advanced_Learner:
Answer by jorel555(1290)   (Show Source): You can put this solution on YOUR website!
Let m and n represent the two cousins. Then m+n=15. In three years n will be twice as old as m, so 2(m+3)=n+3. So:
2m+6=n+3
2m+3=n
m+2m+3=15
3m=12
m=4
n=11
The older cousin is now 11 years old. ☺☺☺☺

Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!

=
=
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=11. Since , x=4.

Answer: .

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