Middle School

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Find the two consecutive numbers with a sum of 173.

Answer :

Let the lesser number be "x", and the greater number be "x + 1".The sum of these two numbers "x" & "x + 1" is equal to 173.

Set the equation:

(x) + (x + 1) = 173

Simplify. Combine like terms

x + x + 1 = 173

(x + x) + 1 = 173

2x + 1 = 173

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 1 from both sides

2x + 1 (-1) = 173 (-1)

2x = 173 - 1

2x = 172

Next, divide 2 from both sides

(2x)/2 = (172)/2

x = 172/2

x = 86

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The first integer is 86. Find the next number. Plug in 86 for x in "x + 1"

x + 1 =

(86) + 1 = 87

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The two integers are 86 & 87.

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