SOLUTION: Nancy is younger than peter who is nineteen years old three years ago her age was one quater of peters age. How old is nancy?

Question 1048836: Nancy is younger than peter who is nineteen years old three years ago her age was one quater of peters age. How old is nancy?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let n = Nancy's age
let p = Peter's age
:
Write an equation for each statement, simplify equation as much as you can
:
Nancy is younger than peter who is nineteen years old
n < p
p = 19
three years ago her age was one quarter of peters age.
n - 3 = (p - 3)
multiply both sides by 4, to get rid of the fraction
4(n - 3) = 1(p - 3)
4n - 12 = p - 3
4n = p - 3 + 12
4n = p + 9
:
How old is Nancy?
replace p with 19, (from the first statement)
4n = 19 + 9
4n = 28
n = 28/4
n = 7 yrs is Nancy's age
:
;
Check this solution in the statement
" three years ago her age was one quater of peters age."
7 - 3 = (19 - 3)
4 = (16)
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