In a four numbers set, the second number is twice the first number, the first is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is:
Let the fourth number be x.
Then, third number = 5x, first number = 5x/3
And second number = 10x/3
x + 5x + 10x/3 + 5x/3 = (33 x 4) or 11x = 132 or x = 12.
So, the numbers are 20, 40, 60 and 12.
Largest number = 60.
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