Question

4. The difference between a two digit number and the number obtained by
interchanging the digits is 27. What is the difference between the two digits of the
number?
​

Answer 1

✬ Difference = 3 ✬

Step-by-step explanation:

Given:

• Difference between two digit number and reversed number is 27.

To Find:

• What is the difference between the two digit number ?

Solution: Let the tens digit be x and ones digit be y. Therefore,

➙ Original Number = 10x + y

[ Now, after reversing digits the reversed number formed will be ]

➙ Reversed Number = 10y + x

A/q

• (Original – Reversed) number = 27

$\implies{\rm }$ 10x + y – 10y + x = 27

$\implies{\rm }$ 9x – 9y = 27

$\implies{\rm }$ 9(x – y) = 27

$\implies{\rm }$ x – y = 27/9

$\implies{\rm }$ x – y = 3

Hence, the difference between the two digit number is 3.

Answer 2

Your Answer :- 3.

Let the ones digit be y and ten's digit be x.

• Original Number = 10x+y.

• Reversed Number = 10y+x.

• Difference Given = 27.

It is Given That :-

[Original No. - Reversed No. = 27.]

$\rm\red{10x + y - 10y + x = 27}$

$\rm\blue{9x - 9y = 27}$

Take Common.

$\rm\pink{9(x - y) = 27}$

$\rm\orange{x - y = \dfrac{27}{9} }$

$\rm\purple{x - y = 3}$

Hence, The Result is 3.