A) 8
B) 9
C) 12
D) 13
Correct Answer: A
Solution :
Let the numbers be a and b, where a > b. According to the question, \[a-b=3\] and \[{{a}^{2}}-{{b}^{2}}=39\] ?(i) \[\Rightarrow \] \[(a+b)(a-b)=39\] \[\Rightarrow \] \[a+b=\frac{39}{a-b}=\frac{39}{3}=13\] \[\Rightarrow \] \[a+b=13\] ?(ii) On adding Eqs. (i) and (ii), we get \[2a=16;\]\[a=8\]You need to login to perform this action.
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