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The sum of three consecutive integers is a multiple of 89 and is a value between 600 and 900. What is the sum of the first three integers?

Thank you! :-)

1 answer

I would use a method of trial and error rather than algebra for this.

The multiples of 89 between 600 and 900 are 89x7=623, 89x8 = 712, 89x9=801 and 89x10=890.

The sum of three consecutive integers that are close to those values are:
207+208+209 = 624
237+278+239 = 714
266+267+268 = 801
296+297+298 = 891
The answer is 801.
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