Question 1177612: The sum of Jocelyn and Joseph's age is 40. In 5 years, Joseph will be twice as Jocelyn's present age. How old are they now? Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39617) (Show Source):
Even do not try follow to the @josgarithmetic post, since his equations are wrong.
For your safety, ignore the post by @josgarithmetic.
I came to bring you the correct solution.
x Jocelyn
y Joseph
Equations (written correctly)
x + y = 40, (1)
y + 5 = 2x (2)
From equation (1), express y = 40-x and plug it into the second equation
40 - x + 5 = 2x.
You will get then
45 = 2x + x
45 = 3x
x = 45/3 = 15.
ANSWER. Jocelyn is 15 years old. Joseph is y = 40-x = 40-15 = 25 years old.
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