Three consecutive multiples of 3 have a sum of 36. What is the greatest number?
The greatest of the three numbers is 15.
The other two numbers are 9 and 12.
The three consecutive multiples of 3 can be written as;
We know from the problem the sum of these three numbers equal 36 so we can write and solve for
Because we are looking for the largest we must add
A multiple of 3 can be written
So 3 consecutive multiples of 3 can be written
The sum of these is 36
Divide through by 9