Correct option is A
Given:
Sum of the digits of a two-digit number = 5
Adding 9 to the number reverses the digits.
Formula Used:
Number = 10 × (Tens digit) + (Units digit)
Solution:
Let the tens digit be a and the units digit be b.
Original number = 10a + b
a + b = 5
Reversed number = 10b + a
(10a + b) + 9 = 10b + a
9 = 9b - 9a
b - a = 1
We have a system of linear equations:
b + a = 5
b - a = 1
Adding both equations:
2b = 6 b = 3
Substituting b = 3 into the first equation:
3 + a = 5 a = 2
The original number = 10 × 2 + 3 = 23
Final Answer
So the correct answer is (a)
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