SOLUTION: A man is 4 times as old as her daughter. After 16 years, he will be twice as old as his daughter. find daughter's age.

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Question 766991: A man is 4 times as old as her daughter. After 16 years, he will be twice as old as his daughter. find daughter's age.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = daughter's age now
4x = man's age now

x + 16 = daughter's age in 16 years
4x + 16 = man's age in 16 years

2(x + 16) = 4x + 16 {in 16 years he will be twice as old as his daughter}
2x + 32 = 4x + 16 {used distributive property}
2x = 16 {subtracted 2x and 16 from each side}
x = 8 {divided each side by 2}

daughter is 8

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