SOLUTION: 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.

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)
RELATED QUESTIONS
in five years, Jose would be twice the age of Ana. Five years ago, Jose was 4 times as... (answered by josgarithmetic)

2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS in 5... (answered by josgarithmetic)

Joel is 10 years older than Jose. In five years, Joel will be as twice as old as Jose.... (answered by josgarithmetic)

Three years from now, beth will be twice the age of ana. Six years ago, she was three... (answered by Fombitz)

Jose is old as Edwin will be when Jose is twice as old as Edwin was when Jose's age was... (answered by josmiceli)

1.nine years ago, Michael was five times as old as Tom. Now he is three times as old as... (answered by josgarithmetic)

five years ago mike was twice as old as Berto.The sum of their ages in 6 years will be 40 (answered by josmiceli)

Lina is twice as old as Ana while Laarni is 24 years younger than Lina.If half of Lina's... (answered by JBarnum,MathTherapy)

Five years ago. A mother was twice as old as her daughter. In 6years time the sum of... (answered by josgarithmetic)