| The average of three numbers is 52. The first is half of second and the second is twice the third. The difference between the second and first number is |
A) 78
B) 39
C) 72
D) 38
Correct Answer: B
Solution :
(b) Let the third number be x, then the second number \[=2x\] and the first number \[=\frac{2x}{2}=x\] Now, \[52=\frac{x+2x+x}{3}\] \[\Rightarrow \] \[4x=52\times 3\]\[\Rightarrow \]\[x=\frac{52\times 3}{4}=39\] \[\therefore \]Difference \[=(2x-x)=x=39\]
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