Question

The difference between a two digit number and the number obtianed by interchanging the digits ia 27 what is the two digits of the number

Answer 1

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

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• The difference between a two digit number and the number obtianed by interchanging the digits is 27

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• Find the original number .

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Let the number be 10x + y

No. formed by reversing the digits = 10y + x

ATQ:-

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: $\sf\implies\:{\bold{ 10x + y - 10y -x = 27 }}$

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: $\sf\implies\:{\bold{ 9x - 9y = 27 }}$

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: $\sf\implies\:{\bold{ 9 ( x - y )= 27 }}$

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: $\sf\implies\:{\bold{ x- y = \dfrac{27}{9}}}$

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: $\sf\implies\:{\bold{ x - y = 3 }}$

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$\sf{\red{\boxed{\bold{\dag x - y = 3}}}}$

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• Difference between the digits of 2 digit number is 3

Answer 2

Answer:

The difference between the two digits of the no. is 3.

Step-by-step explanation:

Let the two digits of the number be x and y,then,

Original no. = 10x + y

Interchanged no. = 10y+x

Therefore, according to the problem,

(10x+y) - (10y+x)=27

=> 10x+y-10y-x=27

=> 9x-9y=27

=> 9(x-y)=27

=> x-y=3

Therefore the difference between the two digits of the no. is 3. Here the digits of the number cannot be found due to lack of sufficient information.