Question

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

Answer 1

45 & 22

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

Answer 2

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

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