Question

Archie is x years old now. His son’s age is 5 more than one-fourth his age. Write an algebraic expression for his son’s age.

Answer 1

We start by defining Archie's age which we don't know at the moment, so we'll just represent it with the symbol 'x'.

Then, we're told that his son's age is 5 more than one-quarter (1/4) of Archie's age.

In mathematics, the phrase "more than" often translates to an addition operation. So, to get the son's age, we will first need to take one-fourth of Archie's age, and then add 5 to that.

This gives us the following algebraic expression for the son's age:

1/4 * Archie's age (which is 'x') + 5

So, we can therefore express the son's age as:

0.25*x + 5