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What two consecutive even integers have a sum of 90?

User Ozer
by
6.7k points

1 Answer

4 votes

Answer:

44 , 46

Explanation:

Note consecutive even integers. Let the smallest integer equal x. The consecutive even integer will be x + 2

Set the equation:

(x) + (x + 2) = 90

2x + 2 = 90

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

First, subtract 2 from both sides:

2x + 2 (-2) = 90 (-2)

2x = 90 - 2

2x = 88

Next, divide 2 from both sides:

(2x)/2 = (88)/2

x = 88/2

x = 44

The first number is 44. Plug in 44 for x in the equation:

(x) + (x + 2) = 90

(44) + (44 + 2) = 90

You are looking for the second number. Simply solve the second parenthesis:

(44 + 2) = 44 + 2 = 46

44 , 46 is your answer.

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User Teesha
by
6.7k points
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