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Illusion [34]
3 years ago
6

The sum of two consecutive even integers is 186. What are the two numbers?

Mathematics
2 answers:
ozzi3 years ago
6 0

Answer: 92 and 94

Step-by-step explanation:

x = first number

x + 2 = second number

x + x + 2 = 186

simplify

2x + 2 = 186

subtract 2 from both sides

2x = 184

divide both sides by 2

x = 92

92 + 2 = 94

The numbers are 92 and 94.

andrew11 [14]3 years ago
5 0

Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive <u>even</u> integers here.

Any 2 consecutive even integers can be represented as x + x + 2.

So we can represent our integers as follows.

X ⇒<em> first integer</em>

X + 2 ⇒ <em>second integer</em>

<em />

Since their sum is 168, our equation reads x + x + 2 = 186.

Simplifying on the left side gives us 2x + 2 = 186.

Now subtract 2 from both sides to get 2x = 184.

Now divide both sides by 2 and we find that <em>x = 92</em>.

If x = 92, then <em>x + 2</em> will be 92 + 2 or 94.

So our two consecutive integers are <em>92</em> and <em>94</em>.

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