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The sum of four consecutive even numbers is 292. what would be the smallest number?

a. 74
b. 76
c. 70
d. 68

1 Answer

6 votes

Final answer:

To find the smallest number of four consecutive even numbers with a sum of 292, we can set up an equation and solve for x. The smallest number is 70.

Step-by-step explanation:

To find the smallest number, we can start by representing the four consecutive even numbers as x, x+2, x+4, and x+6.

The sum of these four numbers is given as 292, so we can set up the equation: x + (x+2) + (x+4) + (x+6) = 292.

Combining like terms, x + x + x + x + 2 + 4 + 6 = 292, which simplifies to 4x + 12 = 292.

Subtracting 12 from both sides of the equation gives us 4x = 280. Dividing both sides by 4, we find x = 70.

Therefore, the smallest number is 70, which corresponds to option c.

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