Question

the sum of the digit of s two, digit number is 8 the number obtained by interchanging it's digit is 18:more than the original number . find the original number.​

Answer 1

Answer:

58......

Step-by-step explanation:

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Answer 2

Answer:

Let the digit at ones place = x

And digit at tens place = y.

So number formed = 10y + x

Reverse number = 10x + y

According to statement

Case 1, x + y = 8........(1)

Case 2,

Reverse number - Original number = 18

10x × y - 10y - x = 18

9x - 9y = 18

x - y = 2...........(2)

Adding (1) and (2)

2x = 10

x = 5

Put x = 5 in ist equation

5 + y = 8

y = 3.

So required number = 10×3 + 5 = 35