Question

:The digits of a two-digit number differ by 3. If the digits are interchanged the resulting number,we get 143.what can be theoriginal number?​

Answer 1

Answer:

The sum of number and the number when its digits are interchanged is 143 . i.e , If you take x - y = 3 then, x = 8 & y = 5 and the number will be 85 .

Step-by-step explanation:

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Answer 2

Answer:

Let us assume, the x is the tenth place digit and y is the unit place digit of the two-digit number. Also assume x > y

Therefore, the two-digit number is 10x + y and reversed number is 10y + x

Given:

x - y = 3 ---------------1

Also given:

10x + y + 10y + x = 143

11x + 11y = 143

x + y = 13 ---------------2

Adding equation 1 and equation 2

2x = 16

x = 8

Therefore, y = x - 3 = 8 - 3 = 5

Therefore, the two-digit number = 10x + y = 10 * 8 + 5 = 85

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