SOLUTION: Ouma is three times as old as his daughter and four times as old as his son.Eight years from now,Ouma's age will be twelve years more than the sum of the ages of his son and daught

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Question 1100517: Ouma is three times as old as his daughter and four times as old as his son.Eight years from now,Ouma's age will be twelve years more than the sum of the ages of his son and daughter.Find Ouma's present age?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
u, Ouma
x, daughter
y, son

Exact translation of the description into system of equations:
system%28u=3x%2Cu=4y%2Cu%2B8=12%2B%28x%2B8%2By%2B8%29%29

u%2B8=x%2By%2B28
u=x%2By%2B20
3x=x%2By%2B20
2x=y%2B20


u=3x=4y
3x=4y

Simpler system in just x and y:
system%282x-y=20%2C3x-4y=0%29

system%288x-4y=80%2C3x-4y=0%29
5x=80
highlight%28x=16%29----------daughter now

y=2x-20
y=2%2A16-20
y=32-20
highlight%28y=12%29------------son now

Ouma now?
3x=4y
3%2A16=4%2A12
highlight%28highlight%28u=48%29%29-------Ouma's age now