Question 1169611: In five years, Jose would be twice the age of Ana. Five years ago, Jose was four times as old as Ana. Find their present ages.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! let j = J's present age
let a = A's present age
:
Write an equation for each statement, simplify each
:
In five years, Jose would be twice the age of Ana.
j + 5 = 2(a+5)
j + 5 = 2a + 10
j = 2a + 10 - 5
j = 2a + 5
Five years ago, Jose was four times as old as Ana.
j - 5 = 4(a-5)
j - 5 = 4a - 20
j = 4a - 20 + 5
j = 4a -15
:
j = j therefore
4a - 15 = 2a + 5
4a - 2a = 5 + 15
2a = 20
a = 10 yrs is A's present age
then
j = 4(10) - 15
j = 25 yrs is J's present age
:
:
Check in the first statement
"In five years, Jose would be twice the age of Ana."
25 + 5 = 2(10 + 5)
30 = 2(15)
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