Question

Sum of digits of two digit number is 12 and the difference between the number and the number obtaained by interchaging the two figit of the number is 18 find the number

Answer 1

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Answer 2

let the sum of two digit no be:

x+y=12........(1)

 the two digit no be:

10x+y

if we interchange the its digit the difference is 18

10x+y-18=10y+x

9x-9y=18.......(2)

Now put the value of x from eqn (1)

9(12-y)-9y=18

108-9y-9y=18

-18y= -90

y=5

x=7

the digit two no:

10x+y=75

10y+x=57

Ans