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Sveta_85 [38]
2 years ago
15

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

Mathematics
1 answer:
Darina [25.2K]2 years ago
6 0

Answer:

32

Step-by-step 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! ♡

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A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
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Answer:

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

 

 

Set up equation before taxes.

 

y = x - 1500        eq1

 

 

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Substitute eq1 into eq2.

 

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Answer:

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