| The sum of digits of a two-digit number is 12 and the difference between the two digits of the two-digit number is 6. What is the two-digit number? |
A) 39
B) 84
C) 93
D) Other than those given as options
E) 75
Correct Answer: C
Solution :
| Let the two-digit number be |
| \[\therefore \] \[\begin{matrix} x+y=12 \\ x-y=6 \\ 2x=18 \\ \end{matrix}\] |
| \[\Rightarrow \] \[x=9\] and \[y=3\] |
| \[\therefore \] Required number \[=10\times 9+3=93\] |
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