Question

the sum of digit of two digit number is 8. the number obtained by interchanging the digit exceed the given number by 18 find the given number

Answer 1

hii mate


x + y = 8   {equation 1}

 

The value of xy is 10x + y

The value of yx is 10y + x

 

10y + x = 10x + y + 18 

9y - 9x = 18

9(y - x) = 18

y - x = 2

 

From equation 1: y = 8-x

 

8 - x - x = 2

8 - 2x = 2

-2x = -6

x = 3

 

y - x = 2

y - 3 = 2

y = 5

 

Original number xy = 35

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