Question

one number is thirteen less than another.if their sum is increased by awven, the result is 90.find the numbers. )enter your answers as a comma-aeperated list)

Answer 1

Given:

One number is thirteen less than another number.

If the sum is increased by seven, the result is 90.

Required:

We need to find the unknown numbers.

Explanation:

Let a be the second number.

The first number is 13 less than a.

The first number is a-13.

The sum of the number is

$a+a-13$

Their sum is creased by 7, then its result is 90.

$a+a-13+7=90$$2a-6=90$

Add 6 to both sides of the equation.

$2a-6+6=90+6$$2a=96$

Divide both sides by 2.

$\frac{2a}{2}=\frac{96}{2}$$a=48$

The second number is 48.

Subtract 13 from 48 to find the first number.

$48-13=35$

The first number is 35.

Final answer:

$35,48$