The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third number is multiplied by 3 and the fourth is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?
(a)
21
(b)
27
(c)
32
(d)
Cannot be determined
The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third number is multiplied by 3 and the fourth is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?
(a)
21
(b)
27
(c)
32
(d)
Cannot be determined
Question ID - 54202 | SaraNextGen Top Answer
The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third number is multiplied by 3 and the fourth is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?
(a)
21
(b)
27
(c)
32
(d)
Cannot be determined
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The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third number is multiplied by 3 and the fourth is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers? |
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(a) |
21 |
(b) |
27 |
(c) |
32 |
(d) |
Cannot be determined |
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Let the four numbers be 
Let 
Then, 
Thus, the numbers are 9, 15, 4 and 36.
Required difference = 