Question

the sum of digits of two digit number is 10 and the number obtained by interchanging the digit is 36 more than the original number find the original number ​

Answer 1

Answer:

the answer is 63 for your question

Answer 2

Answer:

let x be the tens place digit and y be the unit place digit,

so from given condition,

x + y = 10...............(1)

and

from second condition,

10y + x = 10x + y + 36

10y + x - 10 x - y - 36 = 0

9y - 9x = 0

9(y - x ) = 0

y- x = 0......................(2)

from equation 1 and 2,

y = 5

x = 5

therefore the original number is 55.

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