Age Problem: Grandfather and Grandson

Current Ages

A grandfather is currently 56 years old, while his grandson is 14 years old.

Finding When the Grandfather Will Be Twice as Old

We need to determine how many years it will take for the grandfather to be twice the age of his grandson.

Setting Up the Equation

Let X represent the number of years in the future we are considering. The equation can be set up as follows:

56 + X = 2(X + 14)

Solve for X

By solving the equation for X, we find that:

X = 28

Conclusion

After 28 years, the grandfather will be twice as old as his grandson.