Answer:
Step-by-step explanation:
Let the 2-digit number is <u>ab</u>, then its reverse is<u> ba</u>.
<u>We have:</u>
- <u>ab</u> - <u>ba</u> = 45 -------> (1)
and
The first equation is simplified considering <u>ab</u> = 10a + b, <u>ba</u> = 10b + a
- 10a + b - 10b - a = 45
- 9a - 9b = 45
- a - b = 5 -------> (3)
<u>Now add up the first and third equations:</u>
- a + b + a - b = 13 + 5
- 2a = 18
- a = 9
<u>Find the value of b:</u>
The number is 94, your answer is considering the reverse number.