The difference between a two-digit number and the number obtained by reversing its digits is 36. If the sum of digits is 10, find the number.

Question

Accepted Answer

(A) 73. Explanation: Let number = 10a+b. Sum: a+b=10. Difference: (10a+b)-(10b+a)=36 → 9(a-b)=36 → a-b=4. Solving: a+b=10, a-b=4 → a=7, b=3. Number = 73.