Question

The difference between two digit number and number obtained obtained by interchanging its digit 63 e63 what is difference between what is difference between the digit of number

Answer 1

Answer:

★ Difference = 7 ★

Step-by-step explanation:

Given:

• Difference between two digit number and number obtained by interchanging its digits is 63.

To Find:

• What is the difference between the digits of number?

Solution: Let the digits at tens and ones place of number be x and y respectively.

∴ Number = (10x + y)

• After interchanging its digit the new number formed will be • → (10y + x)

A/q

$\small\implies{\sf }$ (10x + y) – (10y + x) = 63

$\small\implies{\sf }$ 10x + y – 10y – x = 63

$\small\implies{\sf }$ 9x – 9y = 63

• Divide all terms by 9

$\small\implies{\sf }$ 9x/9 – 9y/9 = 63/9

$\small\implies{\sf }$ x – y = 7

Hence, The Difference between the digits of the number is x – y = 7.

Answer 2

A N S W E R :

• Difference between the digits of the number is x - y = 7

Given :

• The difference between two digit number and number obtained by interchanging its digit 63

To find :

• Find the difference between the digits of number ?

Solution :

• Let the number be 10 x + y

=> Reversed number = 10 y + x

=> 10 x + y - 10y - x = 63

=> 9x - 9y = 63

=> x - y = 63/9

=> x - y = 7

Hence,

• Difference between the digits of the number is x - y = 7