Question

Solve this step by step.

Answer 1

Answer:

Let the two digit number be xy.

The digit of a two digit number differ by 3. Hence, x - y = 3...()

The digit are interchanged and the resulting number is added to the original number we get 143.

10x + y + 10y + x = 143

11x + 11y = 143

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

Solving (i) and (ii) we get x = 8 and y = 5

Hence, the original number is 85.

Answer 2

Answer:

85

58

Step-by-step explanation:

Let the Two digits be x,y

x=x

y=x-3

Original Number:

10(x)+y

10x+x-3

11x-3

Interchanged number:

10(y)+x

10(x-3)+x

10x-30+x

11x-30

Original Number +Interchanged Number=143 (Given)

11x-3+11x-30=143

22x-33=143

22x=176

x=8

Original Number = 11x-3 =11(8)-3=88-3=85

Interchanged Number =11x-30=11(8)-30=88-30=58

Therefore the numbers are 85,58 and the original number can be anyone of the two

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