Question

0. The sum of the digits of a 2-digit number is 11. If we add 45 to the number, the new

number obtained is a number formed by interchange of the digits. What is the number?
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Answer 1

Step-by-step explanation:

Let the first digit of number be x and second digit of number be y.

So the number will look like xy Or 10*x + y

x + y = 11 and,

10*x + y + 45 = 10*y + x

Putting, y = 11 - x in above equation

10*x + (11 - x) + 45 = 10*(11 - x) + x

10x + 11 - x + 45 = 110 - 10x + x

18x = 54

x = 3

And as y = 11 - x, so y = 8

Therefore the number is 38.

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Answer 2

Answer:

38

Step-by-step explanation:

Let the first digit of number be x and second digit of number be y.

So the number will look like xy Or 10*x + y

x + y = 11 and,

10*x + y + 45 = 10*y + x

Putting, y = 11 - x in above equation

10*x + (11 - x) + 45 = 10*(11 - x) + x

10x + 11 - x + 45 = 110 - 10x + x

18x = 54

x = 3

And as y = 11 - x, so y = 8

Therefore the number is 38