Question

the sum of digits of a two-digit number is 13 if the number is subtracted from the one obtained by interchanging the digits the result is 45 what is the number

Answer 1

Your question has some problem . the new number needs to be subtracted from the original one .
attaching the answer along.

Answer 2

Answer:

Step-by-step explanation:

Solution:-

Let the tens place digit be x

And the ones place digit be y.

Number = 10x + y

Changed Number = 10y + x

According to the Question,

⇒ x + y = 13 .... (i)

⇒ 10y + x − 10x - y = 45

⇒ 9(y - x) = 45

⇒ y - x = 5 ..... (ii)

Solving Eq (i) & (ii), we get

⇒ 2y = 18  

⇒ y = 18/2

⇒ y = 9

Putting y's value in Eq (i), we get

⇒ x + y = 13

⇒ x = 4

Hence, the required number is 49.