Question 198528: A man being asked his age replied: "If you take one year from my present age, the result will be three times my son's now, and three years ago, my age was twice what his will be in 5 years." Find the present age of the man.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! "If you take one year from my present age, the result will be three times my
son's now, and three years ago, my age was twice what his will be in 5 years."
Find the present age of the man.
:
Let m = present age of the man
let s = present age of the son
:
Write an equation for each statement
:
"If you take one year from my present age, the result will be three times my son's now,"
m - 1 = 3s
m = 3s + 1
:
:"three years ago, my age was twice what his will be in 5 years."
m - 3 = 2(s + 5)
m - 3 = 2s + 10
m = 2s + 10 + 3
m = 2s + 13
:
From the 1st statement: substitute (3s+1) for m
3s + 1 = 2s + 13
3s - 2s = 13 - 1
s = 12 yrs is son's present age
then
m = 3(12) + 1
m = 37 yrs is man's present age
:
:
Check solution in the statement:
:"three years ago, my age was twice what his will be in 5 years."
37-3 = 2(12+5)
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