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oee [108]
3 years ago
12

When 13 is subtracted from the sum of 2 consecutive numbers the answer is 18 what are the consecutive numbers?

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
Let x = the first number
x+1 = the second number

The sum of our two numbers is therefore:  x + (x+1)

When you subtract 13 from the above you get 18 left over.

So our equation is:

x + (x+1) - 13 = 18

Now we can just solve for x:

x + (x+1) = 31

2x + 1 = 31

2x = 30

x = 15

So our first number is 15 and our second number must be 16.
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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Equality Properties

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Substitute in <em>b</em> [Equation]:                                                                                5a - 10(3) = 45
  2. Multiply:                                                                                                             5a - 30 = 45
  3. [Addition Property of Equality] Add 30 on both sides:                                  5a = 75
  4. [Division Property of Equality] Divide 5 on both sides:                                  a = 15
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