Question

the digit of a two digit number differby 3.if the digit are interchanged and the resulting number is added to the original number we get 143 .what can be the original ni?​

Answer 1

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$\green{\tt{\therefore{Original\:number\:is\:=\:85}}}$

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Given,

• The digit of a two digit number differ by 3.
• If the digit are interchanged and resulting number is added to the original number, we get 143.

To find : Original number.

Let the two digit number be xy.

According to the question,

The difference between digits is 3.

x - y = 3

So, x = 3 + y...........(i)

Now, Interchanging the digit and adding the resulting number with original number.

10x + y + 10y + x = 143

11x + 11y = 143

x + y = 13...........(ii)

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Now, substituting the value of x from equation (i) in equation (ii)

x + y = 13

3 + y + y = 13

3 + 2y = 13

2y = 10

y = 5

Putting the value of y in equation (i)

x = 3 + y

x = 3 + 5

x = 8

Hence, the two digit number is xy = 85.

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