Question

Sum of the digits of a two digit number is 12. The given number exceeds the number obtained by interchanging the digits by 36 . Find the number

Answer 1

Answer:

The number is 84.

Step-by-step explanation:

Let the number be 10x +y.

given, x +y=12

x=12-y

let number after interchanging digits = 10y+x

also given,

10y+x+36=10x+y

10y-y+36=10x-x

9y+36=9x

since x=12-y,

9y+36=9(12-y)

9y+36=108-9y

9y+9y=108-36

18y=72

y=72/18

y=4

x=12-4=8

The original number is 10x+y=10(8)+4=84

number after interchanging digits is 48.

Answer 2

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