Q99
The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third 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
AnswerD.
Cannot be determined
E.
None of these
Answer: Option C
Solution
Answer: Option C
Solution:
Let the four numbers be , A, B, C and DLet A + 3 = B - 3 = 3C = = x
Then,
A = x - 3
B = x + 3
C =
D = 3x
Thus, the numbers are 9, 15, 4 and 36
∴ Required difference :
= (36 - 4)
= 32