SOLUTION: one half of jeans age two years from now plus one third of her age three years ago is twenty years. how old is she now

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Question 1069071: one half of jeans age two years from now plus one third of her age three years ago is twenty years. how old is she now
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let a = Jean's age now
:
Write an equation for exactly what it says
:
one half of jeans age two years from now plus one third of her age three years ago is twenty years.
1%2F2(a + 2) + 1%2F3(a - 3) = 20
get rid of the fractions, multiply by 6
6*1%2F2(a + 2) + 6*1%2F3(a - 3) = 6(20)
Cancel out the denominators
3(a+2) + 2(a-3) = 120
distribute
3a + 6 + 2a - 6 = 120
5a = 120
a = 120/5
a = 24 yrs is Jean's present age
:
;
check that in the given statement
"1%2F2(24 + 2) + 1%2F3(24 - 3) = 20"
1%2F2(26) + 1%2F3(21) = 20
13 + 7 = 20