SOLUTION: Grace is three years younger then her sister Jane. Twice the sum of their ages is 4 more than their father�s age. If their father is 54, find the ages of Grace and Jane

Question 877645: Grace is three years younger then her sister Jane. Twice the sum of their ages is 4 more
than their father�s age. If their father is 54, find the ages of Grace and Jane
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let g = G's age
let j = J's age
:
Write an equation for each statement
:
Grace is three years younger then her sister Jane.
g = j - 3
or
g - j = -3
:
Twice the sum of their ages is 4 more than their father�s age.
If their father is 54, find the ages of Grace and Jane
2(g+j) = 54 + 4
2g + 2j = 58
simplify, divide by 2, then add the 1st equation
g + j = 29
g - j = -3
-------------adding eliminates j, find g
2g = 26
g = 13 yrs is G's age
then
13 = j - 3
j = 16 is J's age
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