SOLUTION: Gabriella is x years old. her brother is 8 years older and her sister is 12 years younger than she is. If their total age is 50 years, how old are they?

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Question 1160731: Gabriella is x years old. her brother is 8 years older and her sister is 12 years younger than she is. If their total age is 50 years, how old are they?
Found 2 solutions by josgarithmetic, saw:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Gabriela         x
Brother          x+8
Sister           x-12
TOTAL            50

x%2B%28x%2B8%29%2B%28x-12%29=50

3x%2B8-12=50
3x=54
highlight_green%28x=18%29 


PERSON           AGE
Gabriela         18
Brother          x+8=26
Sister           x-12=6
TOTAL            50

Answer by saw(34) About Me  (Show Source):
You can put this solution on YOUR website!
Solution.
Gabriella = x
Her brother = x+8
Her sister = x-12
x+(x+8)+(x-12) = 50
Remove the parenthesis
x+x+8+x-12 = 50
Collect the like terms
3x+8-12 = 50
Calculate the difference
3x-4 = 50
Move constant to the right
3x = 50+4
Add the numbers
3x = 54
Divide both sides by 3
x = 18
Therefore Gabriella is 18 years old.
Her brother is (x+8) = 18+8 = 26 years old.
Her sister is (x-12) = 18-12 = 6 years old.
Check-----
x+(x+8)+(x-12) = 50