# One for the Ages

Pro Problems > Math > Algebra > Equations > Systems of Equations > Word Problems > Age and Time## One for the Ages

Seth's age is two more than twice Quinn's age. Four years ago, Seth's age was seven less than three times Quinn's age. How old is Quinn now?

## Solution

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### The Good Ole Days

"Remember the Good Ol' Days?" Grandpa said.

"Which days were those?" I asked.

"The days when you were one fourth my age," Grandpa said. Then he added, "Also, they were the days when your age, my age, and grandma's age all added to 100."

"Oh, pooh," said Grandma. "That's nothing. In those days, your grandpa's age, minus my age, was two-thirds your age."

"But these are okay days too," I said. "because now my age and grandpa's age add to 100!"

How long ago were the Good Ole' Days?