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8 grade maths

The sum of 3 consecutive integers is 90. What are the 3 integers?

Profile image of Aniket Singh
10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

To find three consecutive integers that add up to 90, we can represent the integers as:

  • x (the first integer)
  • x + 1 (the second integer)
  • x + 2 (the third integer)

Now, we can set up the equation based on their sum:

x + (x + 1) + (x + 2) = 90

Simplifying this gives:

3x + 3 = 90

Next, subtract 3 from both sides:

3x = 87

Now, divide by 3:

x = 29

Thus, the three consecutive integers are:

  • 29
  • 30
  • 31

So, the integers you are looking for are 29, 30, and 31.