Question

The sum of the digits of a 2-digit number is 6. On receving its digits, the number
is 18 less than the original number. Find the number.​

Answer 1

Answer:

Step-by-step explanation:

let the digits be x,y

the original no. is 10x+y

from question x+y=6----------------(1)

reversed no. is 10y+x

the diff. of the 2 no.s is 10x+y-10y-x=18

9x-9y=18

9(x-y)=18

x-y=2----------------(2)

add (1) and (2)

2x=8

x=4

put x=4 in (2)

4-y=2

y=2

there fore x=4

                 y=2