Question

The sum of the digits of a number is 13. If the number obtained by interchanging the digits is 27 more than the original number ,find the original number


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Answer 1

Answer:

84

Step-by-step explanation:

Lets assume a 2 digit number xy.

We can express xy as 10∗x+y

Now according to given scenario-

x+y=13 -(1)

Also,

10∗x+y−10∗y−x=27

This implies

9∗x−9y=27

Hence

x−y=3 -(2)

Adding 1 and 2 we get -

2∗x=16

Hence x=8

Substituting x in (2) we get-

y=5

Hence the 2 digit number that satisfies the conditions is 85.

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