SOLUTION: the sum of the present ages of a father and son is 53 years. four years ago, the father's age was four times the age of the son. find their present ages.

Question 885190: the sum of the present ages of a father and son is 53 years. four years ago, the father's age was four times the age of the son. find their present ages.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the sum of the present ages of a father and son is 53 years.
f + s = 53
f = (53-s); use this from for substitution
:
four years ago, the father's age was four times the age of the son.
f - 4 = 4(s-4)
f - 4 = 4s - 16
f = 4s - 16 + 4
f = 4s - 12
replace f with (53-s)
53 - s = 4s - 12
53 + 12 = 4s + s
65 = 5s
s = 65/5
s = 13 is the son's age
I'll let you find the father's age, check your solutions in the 2nd statement

RELATED QUESTIONS
the sum of present ages of a father and son is 53 years. four years ago, the father's... (answered by TimothyLamb)

The sum of the ages of a father and son is 45 years. Five years ago, the product of their (answered by ankor@dixie-net.com)

the sum of the ages of a father and son is 85 years. five years ago, the father was... (answered by sachi)

ten years ago the age of a father was four times of his son . Ten years hence the age of... (answered by Earlsdon)

The sum of the ages of a father and son is 56. Four years ago the father was 3 times as... (answered by macston)

The sum of ages of father nd son is 56.Four years ago the father was 3times as old as... (answered by jorel555)

Four years ago, the father's age was three times the age of his son., The total of the... (answered by josmiceli)

at present,the sum of the ages of a father and his son is 43 years.In n years,n>0, the... (answered by ankor@dixie-net.com)

An father is twice his sons age , twelve years ago he was four times his sons age .What... (answered by mananth)