9514 1404 393
Answer:
12
Explanation:
Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...
x + y + 2x = 27 ⇒ y = 27 -3x
The requirement that the middle number is y gives rise to the inequality ...
x < y < 2x
Substituting for y, we have ...
x < 27 -3x < 2x
Adding 3x gives us ...
4x < 27 < 5x
These two inequalities give us the requirement that ...
27/5 < x < 27/4
5.4 < x < 6.75
The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.
The greatest number is 12.