The sum of three consecutive numbers is 900. Find them
Answers
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We assign X to the first integer. Since they are consecutive, it means that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 900. Therefore, you can write the equation as follows:
X + X + 1 + X + 2 = 900
To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. Here is the work to show our math:
→X + X + 1 + X + 2 = 900
3X + 3 = 900
→3X + 3 - 3 = 900 - 3
3X = 897
→3X/3 = 897/3
X = 299
Which means that the first number is 299, the second number is 299+1 and third number is 299+2. Therefore, three consecutive integers that add up to 900 are:
→299
→300
→301
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Answer:
Let numbers be x +(x+1)+(x+2)
x +(x+1)+(x+2) =900
3x +3 = 900
3(x+1)= 900
x+1 = 300
x = 299
x+1 = 300
x+2 = 301