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14 votes
The sum of two consecutive integers
is sixty-five. Find the smaller of the
two numbers.

User Apaachee
by
7.6k points

1 Answer

5 votes

Answer:

32

Explanation:

We can write an algebraic equation to solve this situation:
x + x + 1 = 65, where x = first integer (small number) and x + 1 = the following integer.

Step 1: Combine like terms.


  • (x+x)+1=65

  • 2x + 1 = 65

Step 2: Subtract 1 from both sides.


  • 2x + 1 - 1 = 65 - 1

  • 2x = 64

Step 3: Divide both sides by 2.


  • 2x/2 = 64/2

  • x = 32

Therefore, the smaller number is 32 while the larger number is 33.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

User Anoyz
by
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