Question

Cynthia is 54 years old, her granddaughter Gabby is 6 years old. In how many years will Cynthia be three times as old as Gabby?

Answer 1

18

Explanation:

So we have to find out in how many years Cynthia will be three times as old as Gabby. We can put the information into an equation:

3(6 + y) = 54 + y

To find the amount of years, we will have to solve for y in the equation.

3(6 + y) = 54 + y

Distribute the 3 on the left side.

18 + 3y = 54 + y

Subtract 18 from both sides.

3y = 36 + y

Subtract y from both sides.

2y = 36

Divide both sides by 2.

y = 18

So in 18 years, Cynthia will be three times as old as Gabby.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer 2

18 years

Explanation:

Their difference in ages is 54 -6 = 48 years. When grandma is 3 times as old, their difference in age will be twice Gabby's age. (3g -g = 2g). At that time, they will still be separated by 48 years, so Gabby will be 24 years old then.

Gabby will be 24 18 years from now.