Question

One number is 14 less than another. If their sum is increased by seven, the result is 85. Find the

numbers.

Short answer

The two numbers are 46 and 32.

Step-by-step solution

Step 1. Given Information

One number is 14 less than another. If their sum is increased by seven, the result is 85.

Step 2. Forming equation

Let one number be $x$, then other will be $x-14.$

Sum$+7=85$

$x+x-14+7=85$

Step 3. Solving equation

$$\begin{gathered} 2x-7=85 \\ 2x=92 \\ x=46 \\ Othernumber=x-14=32 \end{gathered}$$