Question

The sum of the digits of the 2-digit number is 6. If 18 is added to this number, the number you get is formed by interchanging the digits of the original number. Find the number

Answer 1

Answer:

24

Step-by-step explanation:

let the number be 10x+y

now from 1st condition x+y=6......eqn(1)

from second condition 10x+y+18 = 10y+x

9x-9y+18=0

9x-9y= -18

dividing eqn by 9 we get

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

add eqn 1 and 2

2x = 4

x = 2

put x =2 in eqn 1

y= 6-2

y=4

hence 1 st no. 24

add 18 we get 42