Question

The poduct of the digits of a two digit number is 12. When 36 is added to the number we get a two digit number in which the digits are reversed. Find the two digit number.

Answer 1

Answer:

Step-by-step explanation:

let the digits be x and y.

so the no. is 10x+y

acc. to q: x+y=12.          1

acc to 2nd condition:

10x +y+36=10y+x

so 10x-x+y-10y=  -36

9x-9y= -36

dividing by 9:

x-y= -4      2

adding 1 and 2:

2x=8   so x=4

x+y=12    [from 1]

4+y=12

y=12-4    so y=8.          x=4 and y=8