Question

I WANT SOLUTION AND EXPLANATION ANSWER IS GIVEN AT LAST!!!

Answer 1

Question:

The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number.

Statement:

The difference between a 2-digit number and the number formed by reversing its digits is 45. The sum of the digits of the original number is 13.

Solution:

• Let one of the digit of the original number be x.
• So, the other digit = (13-x)
• Therefore, the two digit number = 10(13-x) + x = 130-10x+x = 130-9x
• The number obtained after interchanging the digits is 10x+(13-x) =9x+13
• Therefore, by the problem

130-9x-(9x+13) = 45

or, 130-9x- 9x-13 = 45

or, -18x = 45-130+13

or, -18x= -72

or, x = 72/18 = 4

or, x = 4

• So, the original number = 130-9x = 130 -9(4) = 130 - 36 = 94

Answer:

The number is 94.

I think the answer you have given isn't right. The answer should be 94.