# The Good Ole Days

Pro Problems > Math > Algebra > Equations > Systems of Equations > Word Problems > Age and Time## 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?

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.## Similar Problems

### Ages at Different Times

Twenty years ago, Kent was twice as old as Xavier is now. The sum of Kent's age and Xavier's age is 53. How old is each person?

### Multiple Ages

I am five times as old as my son, who is twice as old as my daughter. In four years, my age will be twice their combined age. How old am I?

### Finding Nemo's Age

Nemo’s age two years ago was one fifth of Marlin’s current age. In 2 years, Nemo will be half as old as Marlin. How old are Nemo and Marlin?

### 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?

### Mike and Jane Age

Mike’s age, plus Jane’s age, is 42. In three years, Mike will be twice as old as Jane. How old is Jane?

### John and Quentin

John's age is twice what it was when he was a twice as old Quentin. John is six years older than Quentin. How old is Quentin?

### Bob, Jane, and Greg

The sum of Bob’s age and Jane’s age is twice Greg’s age. In eight years, Bob will be as old as Greg was five years ago. Next year, Greg will be half as old as Jane will be in nine years. How old is each person?

### Darryl and Larry's ages

Larry is two years more than twice as old as Darryl was ten years ago, and next year Darryl will be twice as old as Larry was 43 years ago. How old was Larry when he was twice as old as Darryl?

### Bob's age and Bart's Age

Bob is three times as old as Bart. Bob is also twenty-two years older than Bart will be in two years. How old is each?