Question Details

The sum of two consecutive even numbers is 174. Find the smaller number.

Options

A

86

B

84

C

88

D

90

Show Answer

Correct Answer :

Option A

86

86

Solution :

To find the smaller of two consecutive even numbers whose sum is 174, we can set up a simple algebraic equation.

Let the smaller even number be represented by x.
Since consecutive even numbers differ by 2, the next consecutive even number (the larger one) will be x+2.

According to the problem, the sum of these two consecutive even numbers is 174. We can write this relationship as:

x+(x+2)=174

Now, we simplify the equation by combining like terms:

2x+2=174

Subtract 2 from both sides of the equation to isolate the term with x:

2x=174-2
2x=172

Divide both sides by 2 to solve for x:

x=1722
x=86

Thus, the smaller even number is 86. (The larger consecutive even number would be 86+2=88, and their sum is indeed 86+88=174).

Therefore, the correct option is 86.

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