Jose's age = X yrs.
Valerie's age = Y yrs.
Eq1: X + Y = 78.
9 yrs. ago:
Jose's age: x-9 yrs.
Valerie's age: y-9 yrs.
x-9 = 3(y-9).
x-9 = 3y-27.
Eq2: x - 3y = -18.
Subtract Eq2 from Eq1:
Difference: 4y = 96.
Y = 24 = Valerie's current age.
X + 24 = 78.
X = 54 = Jose's current age.
The sum of the ages of Jose and Valerie is 78 years. 9 years ago, Jose's age was 3 times Valerie's age. How old is Jose now?
(A) Translate the given information into an equation using the variable x = current age of Jose. Your equation should contain 78, 3, and 9. Do not simplify your equation.
(B) How old is Jose currently?
Jose is years old
1 answer
1 answer