The sum of a two-digit number and the number formed by reversing the order of its digits is 154. If the digits differ by 4, the number is
A
95 or 59
B
51 or 15
C
26 or 62
D
None of these
Correct Option:
A
Explanation
Let the two-digit number be 10x + y. Its reverse is 10y + x. Their sum is 154, so 11(x + y) = 154 and x + y = 14. The digits differ by 4, so |x − y| = 4. Solving gives the digits 9 and 5. Therefore, the number can be 95 or 59.
