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

larger #?
smaller #?

User FreePeter
by
8.0k points

1 Answer

7 votes

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.

User Adam Soltys
by
8.3k points

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