Answer: Sue is 20 and Jennifer is 26
Explanation:
Let's say that J=Jennifer's age now and S=Sue's age now.
We know that:
J=S+6
Because Jennifer is 6 years older than Sue.
We also know that when Jennifer is 4 years older (J+4), she will be twice as old as Sue was 5 years from now (S-5).
So we get the following equation from that information:
J+4=2(S-5)
So we have the two equations:
J+4=2(S-5)
J=S+6
Let's substitute J=S+6 into the first equation (note that RHS means Right Hand Sie and LHS means Left Hand Side):
(S+6)+4=2(S-5)
S+10=2S-10 [Add 6+4 on the RHS, and distribute on the LHS]
S=2S-20 [Subtract 10 from both sides]
-S=-20 [Subtract 2S from both sides]
S=20 [Divide both sides by -1]
So we know S, which is Sue's age, is 20. So Sue is no 20 years old.
Finding Jennifer's age now is simple. We know Jennifer is 6 years older than Sue, and Sue is 20, so Jennifer is 26 years old.