Aman age is 3 times his son's age 10 years ago he was five times his son's age find their present age
Answers
Answer:
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
Answer:
The son is 20 years old
Aman is 60 years old
Step-by-step explanation:
Let: -> Aman's age be A; -> His son's age be S.
A = 3S
A - 10 = (S-10) * 5 => A - 10 = 5S - 50 => A = 5S - 40
A = 3S = 5S - 40
=> 2S = 40
S = 20 years
A = 3S = 60 years