Question

The product of the digits of a two-digit number is 6. Adding 9 to that number changes the number of digits in the number obtained. The number is ​

Answer 1

hopefully this will help you..

Step-by-step explanation:

Let the two digits number be 10x+y or xy

so xy =6

if 9 is added digit are Interchanged

10x+y+9=10y+x

9=9y-9x

y-x=1

x-y=-1

(x+y)^2=(x-y)^2+4xy

-1^2+4×6

=25

(x+y)=root25=5

now

x+y=5

x-y=-1

2x=4

x=2

fromx+y=5,y=3

so number is 20+3=23

23+9=32digit are Interchanged

2×3=6