Question

The sum of the digits of a two digits number is 9. If 27 is added to the number the digits of the number get diverse .Find the number

Answer 1

let the units digit be x and tens digit be y

therefore, the number= x+10y

x+y= 9.......(1)

x+10y+27= y+10x

-9x+9y=-27

9x-9y= 27

x-y= 27.......(2)

now,

adding (1) and (2)

x+y=9

+ x-y=-3

2x= 6

x= 3.....(3)

now substituting x= 3 in (1)

x+y= 9

3+y= 9

y= 6

therefore,

number is x+10y= 3+ 10×6

= 63

Answer 2

Hope the answer helps you