The grandson asked his grandfather how old he was. Grandpa says you were 2 years old when I was your age, and I was 128 years old when you grew to my size, how old are the grandson and grandpa?

Set: the grandson is x years old and the grandfather is x-2+x years old

x+(x-2)=128-(x-2)

2x-2=128-x+2

3x=132

x=44

44-2+44=86

Answer: the grandson is 44 years old and the grandfather is 86 years old.

Explanation: When the grandfather was as old as the grandson, the grandson was 2 years old, and the difference between them was x-2 years, so using the grandson's current age of x, and adding the difference of x-2 years, is the grandfather's current age. When the grandson is Grandpa's age, Grandpa is 128 years old, 128 - (x-2), or Grandpa's current age. The equation in terms of grandpa's years is: x+(x-2)=128-(x-2)

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