SOLUTION: Greg is 1/3 as old as his father who is two years older than his mother. When Greg was born, the sum of the ages of his father and mother was 46. How old is Greg now? I have g=1

Question 996093: Greg is 1/3 as old as his father who is two years older than his mother. When Greg was born, the sum of the ages of his father and mother was 46. How old is Greg now? I have g=1/3d, d=3(g) and m=3(g)-2, but am not sure what I need to do next or even if this is the correct beginning. thank you.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
g, Greg
f, Father
m, Mother

Greg was born some x years before now.

Note that Greg was born years ago.
The age sum is then .
Working with this gives the equivalent, .

You can use the system of equations
.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Greg is 1/3 as old as his father who is two years older than his mother. When Greg was born, the sum of the ages of his father and mother was 46. How old is Greg now? I have g=1/3d, d=3(g) and m=3(g)-2, but am not sure what I need to do next or even if this is the correct beginning. thank you.

Let Greg�s current age be G
Then father�s is: 3G, and mother�s is: 3G � 2
Age of father when Greg was born: 3G � G, or 2G years
Also, age of his mother when Greg was born: 2G � 2
We then have: 2G + 2G � 2 = 46
4G � 2 = 46
4G = 48
G, or Greg is: , or years-old
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