One number is 17 less than another and the sum of two numbers is 65. What are the numbers

Question

Its a guess and check question 

Answer 1

The numbers are 24 and 41.

 

See other answers for details.

Answer 2

Hi Alex,

Step One: Create Let Statements

Let x= the first number

Let x-17=the other number

Step Two: Translate into an equation

x-17+x=65 Combine like terms

2x-17=65 Add 17 to both sides

2x=65+17 Simplify

2x=82 Divide both sides by 2

x=41

∴The numbers are 41 and 24

Sincerely,

Starlyte H.

Answer 3

First number: x

Second number: x-17

 

Thus, we can sum these up to equal 65.

 

x + x - 17 = 65

 

Add 17 to both sides

 

x + x = 82

 

2x = 82

 

Divide by 2

 

x = 41

 

So, first number is x = 41

Second number is 41-17 = 24

 

Check your answer to make sure these numbers add to 65:

 

24 + 41 = 65.