Q: What is the largest of the three numbers, given that the second number is twice the first and is also thrice the third, and that the average of the three numbers is 44?

A 75
B 72
C 64
D 88

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Answer: B

Explanation:

To find the largest of the three numbers,
given that the second number is twice the first and is also thrice the third,
and that the average of the three numbers is 44,
we can assign variables to represent each of the numbers.
Let the third number be represented by x.
Then the second number can be represented as 3x, and the first number can be represented as 3x/2.
The average of the three numbers can be represented as (x+3x+(3x/2))/3 = 44.
Solving for x yields x = 24. The largest of the three numbers is then the second number,
which is 3x = 3 * 24 = 72

Q: What is the largest of the three numbers, given that the second number is twice the first and is also thrice the third, and that the average of the three numbers is 44?

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