SOLUTION: Cole's dad is half the age of his grandfather. The ages of Cole's dad and grandfather add up to 96. How old is Cole's dad? How old is Cole's grandfather?

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Question 444826: Cole's dad is half the age of his grandfather. The ages of Cole's dad and grandfather add up to 96. How old is Cole's dad? How old is Cole's grandfather?
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
1) Name your variables
Cole's grandfather: x
Cole's dad: 1%2F2 age of grandfather (x) : %281%2F2%29x
2) Plug your varibles into the equation
Cole's dad's age + Cole's grandfather's age = 96
%281%2F2%29x+%2B+x+=+96
3) Solve for x:
%281%2F2%29x+%2B+x+=+96
x%2F2+%2B+x+=+96
Multiply EVERYTHING by 2 to clear the fraction: x+%2B+2x+=+192
3x+=+192
Divide EVERYTHING by 3 to isolate x: x+=+64
Therefore, Cole's grandfather must be 64 years old.
4) If Cole's dad's age is %281%2F2%29x and x (Cole's grandfather's age) is 64, then Cole's dad's age is %281%2F2%29%2864%29
%281%2F2%29%2864%29 = 32 <== Cole's dad's age
=
Therefore, Cole's dad's age is 32 and Cole's grandfather's age is 64.