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.

Step-by-step 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.

`(2a)/(2)=(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`