Question

the product of the digits of a two-digit number is 18 if 63 is subtracted from the number the digits interchange their places find the number​

Answer 1

Step-by-step explanation:

let tens place be x

md units place be y

acc . to the question ,,,,

--xy=18

--y=18/x.........(1)

and, (10x+y)-63=10y+x

--9x-9y=63

--x-y=7..........(2)

putting y's value in equation (2), we get

x-18/x=7

x²-18=7x

x²-7x-18=0

x²-9x+2x-18=0

x( x-9 )+2(x-9)=0

(x+2)(x-9)=0

x-9=0 OR x+2 =0

x=9,-2(as x cant be negative)

x=9

putting. x value in equation (1).......we get

xy=18

9y=18

y=18/9

y=2

NUMBER =92