Asked by Anonymous
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
(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
Answers
Answered by
Henry
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.
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.
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