SOLUTION: A man's age is three times his son's age.Ten years ago he was five times his son's age. By forming two equations and solving them simultaneously,find both of their ages.
Algebra.Com
Question 523800: A man's age is three times his son's age.Ten years ago he was five times his son's age. By forming two equations and solving them simultaneously,find both of their ages.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A man's age is three times his son's age.Ten years ago he was five times his son's age.
By forming two equations and solving them simultaneously,find both of their ages.
:
Let m = man's present age
let s = son's present age
:
Write an equation for each statement:
:
"A man's age is three times his son's age"
m = 3s
m - 3s = 0
:
"Ten years ago he was five times his son's age."
m - 10 = 5(s-10)
m - 10 = 5s - 50
m - 5s = -50 + 10
m - 5s = -40
multiply by -1 to change the signs, add to the first equation
-m + 5s = 40
+m - 3s = 0
------------adding eliminates m, find s
2s = 40
s = 40/2
s = 20 yr is the son's age
then
m = 3(20)
m = 60 is the man's age
:
:
Check this in the statement:
"Ten years ago he was five times his son's age."
60 - 10 = 5(20-10)
50 = 5(10); confirms out solutions
RELATED QUESTIONS
A man is 26 years older than his son. He is also 8 years older than three times his son’s (answered by ewatrrr)
Six years hence a man?s age will be three times his son!s age and three years ago he was... (answered by JulietG)
A man's age is three times his son's age. Ten years ago he was five times his son's age. (answered by ankor@dixie-net.com)
Vanda’s present age is three times that of his son. Nine years ago he was five times... (answered by MathLover1)
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)
two years ago,a man was five times as old as his son. two years later,his age be 8 more... (answered by JulietG)
Two years ago, a man was five times as old as his son. Two years later, his age will be 8 (answered by josmiceli)
Ten years ago, Pepito's age was three times the age of his son, Chito. After ten years,... (answered by josgarithmetic,ikleyn,greenestamps)
A man is 32 years older than his son. Ten years ago he was three times older as his Don... (answered by Alan3354)