SOLUTION: Eva is six years older than Elvin. In four years, Eva will be 26 (twenty-six) more than 1/2 (half) of Elvin's age. How old are they now?

Question 176136: Eva is six years older than Elvin. In four years, Eva will be 26 (twenty-six) more than 1/2 (half) of Elvin's age. How old are they now?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Eva is six years older than Elvin. In four years, Eva will be 26 (twenty-six)
more than 1/2 (half) of Elvin's age. How old are they now?
:
Let Ev = Eva's age now
Let En = Elvin's age now
:
Write an equation for each statement:
:
"Eva is six years older than Elvin."
Ev = En + 6
:
" In four years, Eva will be 26 (twenty-six) more than 1/2 (half) of Elvin's age."
Ev + 4 = .5(En+4) + 26
Ev + 4 = .5En + 2 + 26
Ev = .5En + 28 - 4
Ev = .5En + 24
:
How old are they now?
:
Substitute (En+6) for Ev in the using the above equation
(En+6) = .5En + 24
En + 6 = .5En + 24
En - .5En = 24 - 6
.5En = 18
En =
En = 36 yrs is Elvin's age now
then
Ev = 36 + 6
Ev = 42 is Eva's age now
:
:
Check solution in the statement:
In four years, Eva will be 26 (twenty-six) more than 1/2 (half) of Elvin's age."
46 = .5(40) + 26
46 = 20 + 26
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