SOLUTION: the age of father exeeds to the square of the age his son by 4 years.the sum of the age of father and four times the age of his son is 64 years.find their ages.
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Question 669410: the age of father exeeds to the square of the age his son by 4 years.the sum of the age of father and four times the age of his son is 64 years.find their ages.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let d = Dad's age
let s = don's age
:
Write an equation for each statement:
:
the age of father exeeds to the square of the age his son by 4 years.
d = s^2 + 4
:
the sum of the age of father and four times the age of his son is 64 years.
d + 4s = 64
Replace d with (s^2+4)
s^2 + 4 + 4s = 64
A quadratic equation
s^2 + 4s - 60 = 0
Factors to
(s+10)(s-6) = 0
the positive solution
s = 6 yrs is the son's age
:
Find Dad's age
6^2 + 4 = 40 yrs
:
:
check solutions in the 2nd statement
40 + 4(6) = 64
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