Question

The sum of two numbers is 61. The larger number is17 more than the smaller number. What are the numbers? i need to find the small and large number can someone help me find them

Answer 1

Let x= small number
x+17= larger
add them since together they equal 61
x+x+17=61
combine like terms
2x+17=61
2x= 44
divide by 2
x=22 which is the small number
22+17= 39 which is the larger number

hope this helps

Answer 2

22 and 39.

Explanation:

Let x be the smaller number.

The larger number is 17 more than the smaller number.

Larger = x + 17

The sum of two numbers is 61.

`x+(x+17)=61`

`2x+17=61`

Subtract 17 from both sides.

`2x=61-17`

`2x=44`

Divide both sides by 2.

`x=(44)/(2)`

`x=22`

Smaller number is 22. So, the larger number is

`x+17=22+17=39`

Therefore, the two numbers are 22 and 39.