Question

the difference between a two digit number and number obtained by interchanging its digit is 63 what is the difference between the digits of the number​

Answer 1

• Let one's digits be M and ten's digit be N.

Original number = 10N + M

» The difference between a two digit number and number obtained by interchanging its digit is 63.

We have original number is 10N + M.

On inter-changing digits the one's digit be N and ten's digit be M.

• After interchanging the new number is 10M + N.

The difference between the original number and the number after interchanging the digits is 63.

=> 10N + M - (10M + N) = 63

=> 10N + N + M - 10M = 63

=> 9N - 9M = 63

=> 9(N - M) = 63

=> N - M = 7

_____________________________

The difference between the digits of the number is 7

___________ [ANSWER]

Answer 2

Answer:

7

Step-by-step explanation:

Given Problem:

The difference between a two digit number and number obtained by interchanging its digit is 63 what is the difference between the digits of the number​.

Solution:

To Find:

Difference between the digits of the number​

-----------------------

Method:

Let the two digit number be XY

$=>(10X+Y) - (10Y+X) = 63$

$=>10X + Y - 10Y - X = 63$

$=>9X - 9Y = 63$

$=>9(X - Y) = 63$

$=>X - Y = \frac{63}{9}$

$X - Y = 7 ........................(Answer)$