| The product of two consecutive even numbers is 3248. Which is the larger number? [IBPS (PO) 2013] |
A) 58
B) 62
C) 56
D) 60
E) None of these
Correct Answer: A
Solution :
| Here, let the one even number be \[x.\] |
| Then, another even number is \[(x+2).\] |
| Now, \[x\,\,(x+2)=3248\] |
| or \[{{x}^{2}}+2x-3248=0\] |
| \[\Rightarrow \]\[{{x}^{2}}+58x-56x-3248=0\] |
| [by splitting the middle term] |
| \[\Rightarrow \] \[x\,\,(x-56)+58\,\,(x-56)=0\] |
| \[\Rightarrow \] \[(x+58)(x-56)=0\] |
| \[\Rightarrow \] \[x=56\] |
| \[\therefore \]Larger number \[=x+2\] |
| \[\Rightarrow \] \[56+2=58\] |
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