The product of three consecutive even numbers is 480. What are the numbers?
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The product of three consecutive even numbers is 480. What are the numbers?
The product of three consecutive even numbers is 480. What are the numbers?
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Answer:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 480. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 480
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 480
3X + 3 = 480
3X + 3 - 3 = 480 - 3
3X = 477
3X/3 = 477/3
X = 159
Which means that the first number is 159, the second number is 159 + 1 and the third number is 159 + 2. Therefore, three consecutive integers that add up to 480 are 159, 160, and 161.
159 + 160 + 161 = 480
We know our answer is correct because 159 + 160 + 161 equals 480 as displayed above.