SOLUTION: susan's father is 3 years more than twice as old as susan.yhe product of their ages in years is 560.how old is susan?
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Question 644382: susan's father is 3 years more than twice as old as susan.yhe product of their ages in years is 560.how old is susan?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
let f = father's age and s = susan's age
f = 2s + 3
f*s = 560
(2s + 3)*s = 560
s(2s + 3) = 560
2s^2 + 3s = 560
2s^2 + 3s - 560 = 0
(2s+35)(s-16) = 0
2s+35 = 0 or s-16 = 0
2s = -35 or s = 16
s = -35/2 or s = 16
s = -17.5 or s = 16
Toss the negative solution to get the only solution: s = 16
So Susan is 16 years old.
f = 2s + 3
f = 2(16) + 3
f = 32 + 3
f = 35
and her father is 35 years old
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