The sum of four consecutive even numbers is 292 what is the smallest number?
- 66
- 68
- 70
- 72
Explanation
Let's denote the four consecutive even numbers as x, x+2, x+4, and x+6. The sum of these numbers is given as 292, so we can write the equation: x + (x+2) + (x+4) + (x+6) = 292 Combine like terms: 4x + 12 = 292 Subtract 12 from both sides: 4x = 280 Divide by 4: x = 70 So, the four consecutive even numbers are 70, 72, 74, and 76. The smallest number is *70*.
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