SOLUTION: The age of the father will be five times the age of his son in five years time. If the sum of their ages now is 80 years. Calculate the present age of the father.

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Question 552094: The age of the father will be five times the age of his son in five years time. If the sum of their ages now is 80 years. Calculate the present age of the father.
Found 2 solutions by htmentor, JBarnum:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The age of the father will be five times the age of his son in five years time. If the sum of their ages now is 80 years. Calculate the present age of the father.
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Let f = the father's present age
Let s = the son's present age
Given: in 5 years the father will be 5 times as old as the son; sum of their ages is 80
Put this information in equation form:
f + 5 = 5(s + 5)
f + s = 80 -> s = 80 - f
f + 5 = 5((80 - f) + 5)
Solve for f:
f + 5 = 425 - 5f
6f = 420
f = 70
So the father is 70 years old

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
f%2B5=5%28s%2B5%29
f%2Bs=80
.
80-s%2B5=5%28s%2B5%29
85-s=5s%2B25
60=6s
10=s

.
f=70
s=10
.
70+5=5(10+5)
75=75
70+10=80
80=80