8 years ago, if Addie’s age was one-third of the age he will be in 12 years, what is his present age?
Let Addie’s present age be x years.
8 years ago, Addie’s age was x−8. Addie’s age was one-third of the age he will be in 12 years, which is 1/3(X+12) .
Set Up the Equation
From the problem, we get the equation x−8=1/3(x+12)
– Multiply both sides by 3 to eliminate the fraction: 3(x−8)=x+12 – Simplify: 3x−24=x+12.
Subtract xxx and add 24 to both sides: 3x−24−x+24=x+12−x+24. This simplifies to 2x=36. Divide by 2: x=18.
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