The sum of two numbers is 67. The smaller number is 17 less than the larger number. What are the numbers

The smaller number is 25 and the bigger number is 42.

Step-by-step explanation:

To represent the smaller number, we will use x.

To represent the bigger number, we will use x + 17.

Together, these two numbers make 67, so we can make an equation out of this and solve for x:

x + x + 17 = 67

2x + 17 = 67

- 17 - 17

2x = 50

x = 25

So, the smaller number is 25 and the bigger number is 42.

Check:

42 - 25 = 17

25 + 42 = 67

45 & 22

Step-by-step explanation:

let larger number be x, then smaller number is x-23

their sum is 67 so

x+x-23=67 solve for x

2x-23=67 add 23 to each side

2x=90 divide each side by 2

x=45

so larger number is 45 and smaller number is 45-23=22