Of three numbers, the second is twice the first and is also thrice the third. If the average of the three numbers is 44, what is the largest number?

The largest number is 72.

Let the second number be b; the first is b/2 and the third is b/3.

The sum = 3 x 44 = 132, so b/2 + b + b/3 = 132.

b(11/6) = 132 gives b = 72.

The first is 36 and third is 24, so the largest is 72.