Question

A number added to one-quarter of itself is 45. Solve and show all working out.

Answer 1

Let's call the number we are after the quantity X

Let x= number we wish to find.
We are then told if we add this number to 1/4 of itself
the sum is 45.
In math terms, this is:

\[x + \frac{ x }{ 4 } = 45\]

So here we are add X to 1/4 of itself
We then can do a little algebra to find X.

Answer 2

\[36 + \frac{36 }{ 4 } = 45 \therefore x=36\]