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kobusy [5.1K]
3 years ago
12

The sum of 4 consecutive integers is 354

Mathematics
1 answer:
Inessa [10]3 years ago
5 0
Consecutive integers are numbers in a row on a number line (ie. 4,5,6 or 457,458,459 or 12341, 12342, 12343). They can also be negative as long as the problem doesn't specify if it's positive.


x= first integer
x+1= second integer
x+2= third integer
x+3= fourth integer

Add the four integers equal to 354.

x + (x+1) + (x+2) + (x+3)= 354
combine like terms

4x + 6= 354
subtract 6 from both sides

4x= 348
divide both sides by 4

x= 87 first integer


THREE REMAINING INTEGERS
x+1= 87 + 1= 88 second integer

x+2= 87 + 2= 89 third integer

x+3= 87 + 3= 90 fourth integer


ANSWER: The four consecutive integers are 87, 88, 89 and 90.

Hope this helps! :)
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