16.6k views
5 votes
How to do problem in picture

How to do problem in picture-example-1
User OllieGreen
by
8.2k points

1 Answer

4 votes
First find the common multiple, the number that is divisible by 9, 10, and 11.

This is 9*10*11 = 990

Next notice that by using factoring, we can subtract either 9,10,11 and the result will be divisible by that number.


(9*10*11 -11)/(11) = (11(9*10 -1))/(11) = 9*10 -1

This works for 10 as well as 9.

Therefore the 3 consecutive integers are:
990-11, 990-10, 990- 9

979, 980, 981
User Adnrw
by
8.4k 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