A) 9
B) 1
C) 4
D) 5
E) None of these
Correct Answer: B
Solution :
Explanation Let the smaller number be x. Then the larger number \[= x + 7\] \[{{\left( x + 7 \right)}^{2}}= {{x}^{2}}+ 77\] \[\Rightarrow \,\,{{x}^{2}}+14x+49={{x}^{2}}+77\] \[\Rightarrow \,\,\,14x=77-49\] \[\Rightarrow \,\,\,x=\frac{2{{{}}^{2}}}{1}\] \[\Rightarrow \,\,\,x=2\]You need to login to perform this action.
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