SOLUTION: A father is six times as old as his son. Two years ago he was eight times as old. Find the son's age.
Algebra.Com
Question 457222: A father is six times as old as his son. Two years ago he was eight times as old. Find the son's age.
Found 3 solutions by josmiceli, algebrahouse.com, karthiktcs:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Father's age now
Let = Son's age now
given:
(1)
(2)
--------------------
(2)
(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)
The Son is 7 now
check:
(1)
(1)
(1)
(2)
(2)
(2)
(2)
OK
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = son's age now
6x = father's age now {father is six times as old as his son}
x - 2 = son two years ago
6x - 2 = father two years ago
6x - 2 = 8(x - 2) {two years ago the father was eight times as old as his son}
6x - 2 = 8x - 16 {used distributive property}
-2 = 2x - 16 {subtracted 6x from both sides}
14 = 2x {added 16 to both sides}
x = 7 {divided both sides by 2}
son is 7 years old now
www.algebrahouse.com
Answer by karthiktcs(3) (Show Source): You can put this solution on YOUR website!
let the present age of son be x
and father age be 6x
two years ago
(6x-2)=8(x-2)
6x-2=8x-16
6x-2-8x+16
-2x+14=0
14=2x
x=7
RELATED QUESTIONS
A father is now three times as old as his son. 12 years ago he was six as old as his son. (answered by Maths68)
A father is twice as old as his son. He was 6 times his son’s age 20 years ago. What
is... (answered by Cromlix)
A father is twice as old as his son. He was 6 times his son’s age 20 years ago. What is... (answered by Boreal,Alan3354)
a father is now threes times as old as his son. Eight years ago the father's age was five (answered by ewatrrr)
1. (Age) a father is now three times as old as his son. Twelve years ago he was six times (answered by Edwin McCravy)
A father is now three times as old as his son. Twelve years ago he was six times as old... (answered by algebrahouse.com,ewatrrr)
a father is now 3 times as old as his son. twelve years ago, he was six times as old as... (answered by Maths68)
a father is now three times as old as his son. twelves years ago he was six times as old (answered by TimothyLamb)
A father is six times as old
as the son. Four years ago
the father was ten times
as... (answered by mananth)