Question 471064
x = daughter's age now
4x = man's age now {man is 4 times as old as daughter}


x + 16 = daughter in 16 years
4x + 16 = man in 16 years


4x + 16 = 2(x + 16) {after 16 years, he will be twice as old as her}
4x + 16 = 2x + 32 {used distributive property}
4x = 2x + 16 {subtracted 16 from both sides}
2x = 16 {subtracted 2x from both sides}
x = 8 {divided both sides by 2}
4x = 32 {substituted 8, in for x, into 4x}


daughter is 8
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