Question

sum of digit of a two digit number is 8. If we intel change the digits it is found that the pesulting new number is increased by 18 than the original number. Find the two digit number.​

Answer 1

Answer:

35

Step-by-step explanation:

Let the number be in the form of 10x+y, where x and y are the tens digit and the units digit respectively.

Applying the first condition:, we get

x+y=8 ....(1)

Applying the second condition, given in the problem

10x+y+18=10y+x

⇒9x−9y=−18

⇒x−y=−2 ....(2)

By solving equations (1) and (2), we get

x=3 and y=5

Therefore, the number is 35