| The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is |
A) 65
B) 95
C) 106
D) 115
E) None of these
Correct Answer: B
Solution :
| Average of three number\[=135\] |
| \[\therefore \]Sum of three numbers \[=3\times 135=405\] |
| Let the remaining number be \[x\] and \[x+20\] |
| Then, \[195+x+(x+20)=405\] |
| \[\Rightarrow \] \[2x+215=405\] |
| \[\Rightarrow \] \[2x=190\]\[\Rightarrow \]\[x=95\] |
| \[\therefore \]Smallest number \[=x=95\] |
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