Question

The digits of a two digit number differ by three. If the digits are interchanged and the resulting number is added to the original number we get 143. What can be the original number?

Answer 1

Answer:

A two digit number can be written as -> 10x + y .

x -> first digit and y -> second digit.

Now ,

The digits are differ by 3 i.e,

| x - y | = 3

The sum of number and the number when its digits are interchanged is 143 .

( 10x + y ) + ( 10y + x) = 143

i.e ,

x + y = 13 .

If you take x - y = 3 then,

x = 8 & y = 5 and the number will be 85 .

And if you take x - y = -3 then,

x = 5 & y = 8 and the number will be 58.

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