Question

the difference between a two digit no. at the number obtained by interchanging the possision of its digits 63 . Find the difference between the two digits number.​

Answer 1

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The difference between a 2-digit number and the number obtained by interchanging its digit is 63. What is the difference between the digit of the number?

When will Lunchclub be active in New Delhi?

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Find the difference between the two digits number.

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◕A two digit number has two places, a unit digit, and a tens digit.

Let the tens digit be X/10. So without the unit digit, the number would be (X/10) * 10 = X.

let the unit digit be Y.

So the original number is : X + Y ………………………………….. (1)

Now,

if you want to interchange the digits

So we will write it as : (Y * 10) + (X / 10)…………….(2)

Now (Y * 10) + (X / 10) = (7 * 10) + (20 / 10) = 70 + 2 = 72.

Now, in your question, you said that the difference

Now, in your question, you said that the difference is 63.

So therefore,

$[X + Y] - [(Y * 10) + (X / 10)] = 63…….(3) \\ </p><p></p><p>[X - (X / 10)] + [Y - (Y * 10)] = 63 \\ </p><p></p><p>[9X / 10] + [9Y / 10] = 63 \\ </p><p></p><p>[9 (X + Y)] / 10 = 63. \\ </p><p></p><p>9 (X + Y) = 63 \times 10 = 630 \\ </p><p></p><p>X + Y = 630 / 9 \\ </p><p></p><p>X + Y = 70.$

If you write it as:

X + Y = 70 + 0

X = 70, Y = 0

Now Substitute the same into third equation

$[70 + 0] - [(0 * 10) + (70 / 10)] = 63 \\ </p><p></p><p>70 - [0 + 7] = 63 \\ </p><p></p><p>70 - 7 = 63</p><p></p><p>63 = 63.</p><p>$

So X and Y are verified.

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difference between the digits of the number

☞= (X/10) - Y

☞= (70/10) - 0

☞= 7 - 0 = 7.

So 7 is the answer

Answer 2

☆ Solution ☆

Given :-

• The difference between a two digit number at the number obtained by interchanging the possision of its digits 63.

To Find :-

• The difference between the two digits number.

Step-by-Step-Explaination

Let the digits be x and y

Let x be at the 10's place and y be at the unit place.

So, Number = ( 10x + y )

And the number after interchanging digits

( 10y + x )

Difference between these two number is 63 .

According to the question

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

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

=> 9x - 9y = 63 ( divide each side by 9 )

=> $\dfrac{9x}{9} - \dfrac{9y}{9} = \dfrac{63}{9}$

=> x - y = 7

Hence ,

The difference between these two numbers is 7.