SOLUTION: a man is six times as old as his son. twenty years later, the man will be twice as old as his son. find the age of the man when his was born
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Question 871984: a man is six times as old as his son. twenty years later, the man will be twice as old as his son. find the age of the man when his was born Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Write an equation for each statement
:
a man is six times as old as his son.
m = 6s
:
twenty years later, the man will be twice as old as his son.
m + 20 = 2(x+20)
m + 20 = 2s + 40
m = 2s + 40 - 20
m = 2s + 20
replace m with 6s (from the 1st statement)
6s = 2s + 20
6s - 2s = 20
4s = 20
s = 20/4
s = 5 yrs old is the son
then
6(5) = 30 yrs is the man's age
:
"Find the age of the man when his son was born"
30 - 5 = 25 yrs
