The sum of four numbers is 64. If we add 3 to first number, subtract 3 from the second, third is multiplied by 3 and fourth be divided by 3, then the all numbers assume the same value. The difference between the largest and smallest of the original numbers is |
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a) |
36 |
b) |
32 |
c) |
27 |
d) |
25 |
The sum of four numbers is 64. If we add 3 to first number, subtract 3 from the second, third is multiplied by 3 and fourth be divided by 3, then the all numbers assume the same value. The difference between the largest and smallest of the original numbers is |
|
|||||||
a) |
36 |
b) |
32 |
c) |
27 |
d) |
25 |
Let the four numbers be
Let
∴
Since
⇒
⇒
∴ Four numbers are 9, 15, 4, 36
∴ Required difference=36-4=32