The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?
A. 29
B. 70
C. 92
D. Cannot be determined
E. None of these
Answer: Option D
Solution(By Examveda Team)
Let the ten's digit be x and unit's digit be yThen,
$$\eqalign{ & \Leftrightarrow \left( {10x + y} \right) - \left( {10y + x} \right) = 63 \cr & \Leftrightarrow 9\left( {x - y} \right) = 63 \cr & \Leftrightarrow x - y = 7 \cr} $$
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Answer should be 29..