SOLUTION: six year hence a man's age will be 3 times a age of his son and 3 tears ago he was 9 times as old his son

Question 466558: six year hence a man's age will be 3 times a age of his son and 3 tears ago he was 9 times as old his son
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Six year hence a man's age will be 3 times a age of his son and 3 tears ago he was 9 times as old his son
:
Let m = man's age
Let s = son's age
:
"six year hence a man's age will be 3 times a age of his son "
m + 6 = 3(s+6)
m + 6 = 3s + 18
m = 3s + 18 - 6
m = 3s + 12
:
" and 3 tears ago he was 9 times as old his son"
m - 3 = 9(s-3)
m = 9s - 27 + 3
m = 9s - 24
:
Using the 1st equation, replace m with (9s-24)
9s - 24 = 3s + 12
9s - 3s = 12 + 24
6s = 36
s =
s = 6 yrs old is the son
:
Find m
m = 3s + 12
m = 3(6) + 12
m = 18 + 12
m = 30 yrs is Dad's age
:
:
Check solution in the 2nd statement
" 3 years ago he was 9 times as old his son"
30 - 3 = 9(6-3)
27 = 9(3), confirms our solutions of m=30, s=6

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