Math, asked by aditys10, 1 year ago

sum of the digits of two digit number is 11 the digit number less than the number obtained by interchanging the digit by 9 find the number

Answers

Answered by uj1
2
Two digit number: xy= 10x+y.

Sum of digits: x+y=11

xy is less then yx by 9: xy+9=yx 

xy+9=yx

10x+y=10y+x-9

9x-9y=-9

x-y=-1,

So this is the system of equations to be solved:

x + y=11

x - y =-1

x=5, y=6

The number is 56.

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