Question

The sum of the digits of a two digit number is 13 .When the digits are interchanged, the new number so formed is 9 more than the original number. Find the original number.

please help plz​

Answer 1

Answer:

Let one's digit = x

And, ten's digit = y

Therefore, number is 10y+x.

According to the question,

x+y=9 ....(1)

Also,

10y+x+9=10x+y

x−y=3 ......(2)

Solving equation 1 & 2, we get,

x=6 and y=3.

Hence, the original number is 10y+x=36