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

Answer:

22 and 39.

Step-by-step 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.

$x=\dfrac{44}{2}$

$x=22$

Smaller number is 22. So, the larger number is

$x+17=22+17=39$

Therefore, the two numbers are 22 and 39.

Answer 2

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