Question
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! :-)
Thank you! :-)
Answers
drwls
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.
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.