Question

One number is 24 less than another number. If the sum of the two numbers is 92, find the two numbers

larger #?
smaller #?

Answer 1

Answers:

• Larger = 58
• Smaller = 34

=========================================================

Step-by-step explanation:

• x = larger number
• y = smaller number

The smaller number y is 24 less than the larger number x

This means y = x-24

--------

The two numbers x and y add to 92

x+y = 92

x+x-24 = 92 ... y replaced with x-24

2x-24 = 92

2x = 92+24

2x = 116

x = 116/2

x = 58 is the larger number

y = x-24 = 58-24 = 34 is the smaller number

Check: x+y = 58+34 = 92, so the answer is confirmed.