SOLUTION: Frank is 27 yrs younger than his mom. In 15 years, Frank will be half as old as his mother is then. How old his Frank and his mom now?

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Question 345990: Frank is 27 yrs younger than his mom. In 15 years, Frank will be half as old as his mother is then. How old his Frank and his mom now?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.F=M-27
In 15 years, Frank will be F%2B15 and his mom will be M%2B15.
F%2B15=%281%2F2%29%28M%2B15%29
2.2F=M-15
Substitute from eq. 1,
2%28M-27%29=M-15
2M-54=M-15
M=54-15
M=39
.
.
F=39-27
F=12
.
.
.
Frank is 12 and Mom is 39.