A) 1
B) 2
C) 3
D) 6
Correct Answer: C
Solution :
[c] Let the number to be subtracted be x. Then, \[\frac{54-x}{71-x}=\frac{75-x}{99-x}\] \[\Rightarrow \] \[(54-x)\,(99-x)\] \[=(75-x)\,(71-x)\] \[\Rightarrow \] \[5346-153x+{{x}^{2}}\] \[=5325-146x+{{x}^{2}}\] \[\Rightarrow \] \[7x=21\]\[\Rightarrow \]\[x=3\] \[\therefore \] The required number is 3. |
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