The number obtained by interchanging the two digits of a two-digit number is lesser than the original number by 54. If the sum of the two digit of the number is 12, then what is the original number ?
A. 28
B. 39
C. 82
D. Cannot be determined
E. None of these
Answer: Option E
Solution(By Examveda Team)
Let ten's digit = xThen, unit's digit = (12 - x)
$$\therefore \left[ {10x + \left( {12 - x} \right)} \right] - $$ $$\left[ {10\left( {12 - x} \right) + x} \right]$$ $$ = 54$$
$$\eqalign{ & \Leftrightarrow 18x - 108 = 54 \cr & \Leftrightarrow 18x = 162 \cr & \Leftrightarrow x = 9 \cr} $$
So, ten's digit = 9 and unit's digit = 3
Hence, original number = 93
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
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