Question

The sum of a two digit no. is 10. The number is decreased by 36 if the digits ate reversed. Find the number ?

Answer 1

✍✍✍Har Har.

Here is your answer mate...✌✌

We have a 2-digit number where the sum of the digits is 10. If we then take the 2-digit number and subtract 36 we get the 2-digit number, reversed.

The 2-digit number can be represented as 10a + b. And we know a + b = 10.

We also know that 10a + b - 36 = 10b + a.

Arranging gives us 9a - 9b = 36.

And then divide by 9 gives us a - b = 4. Now, we have a + b = 10 and a - b = 4. Adding those together gives us 2a = 14 and then a = 7.

Following that b is 3.

This means that the 2 digit number we’re looking for is 73.

Easy way :

x+y=10

y=10-x

10x+y-36=10y+x

9x=9y+36

x=y+4

x=(10-x)+4

2x=14

x=7

y=3

Therefore the original number is 73.