SOLUTION: Felipe is a teenager who is 10 years older than his sister Irene. In 6 years, Felipe will be twice as old as his sister. How old is Felipe?

Question 500712: Felipe is a teenager who is 10 years older than his sister Irene. In 6 years, Felipe will be twice as old as his sister. How old is Felipe?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
F = Felipe's age
I = Irene's age
.
F = I +10
.
In six years means:
F+6 = Felipe's age
I+6 = Irene's age
.
(F+6) = (I+6)*2
.
Substitute for F = I+10
.
(I+10+6) = (I+6)*2
I + 16 = 2I +12
.
Subtract I from both sides
.
16 = I + 12
.
Subtract 12 from both sides
.
4 = I
so
Irene is 4
.
Substitute to find F
.
F = I +10
F = 4 + 10
F = 14
.
Always check your work!
.
In 6 years, F = 20.
In 6 years, I = 10.
He will be twice as old as she.
Correct!
.
Answer:
Felipe is 14, and Irene is 4.
.
Done.
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