72.7k views
1 vote
Three consecutive integers have a sum of 297 . Find the integers.

User Probono
by
8.4k points

2 Answers

3 votes
We will put X to the first integer. Since they're consecutive (meaning that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 297) Here is how you can write the equation.
X+X+1+X+2 = 297
To solve for X, you have to add the integers together and the X variables together. Then, you must subtract 3 from each side and then dividing by 3 on each side.
X + X + 1 + X + 2 = 297
3X + 3 = 297
3X + 3 - 3 = 297 - 3
3X = 294
3X/3 = 294/3
X = 98
Which means that the first number is 98, the second number is 98+1 and third number is 98+2. Which give us three consecutive integers that add up to 297.
98+99+100= 297
User Sumit Gupta
by
8.3k points
3 votes

297 /3 = 99

99-1 = 98

99 +1 = 100

98 + 99 + 100 = 297

the numbers are 98, 99 , 100

User Robin Layfield
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories