Question

A two digit number is such that the product of its digit is 18. when 63 is subtracted the digits interchange their place find the number

Answer 1

solved! no.s are 92 and 29

Answer 2

Answer:

Step-by-step explanation:

let one digit be x and other digit be y

product of the digit=xy

according to the question

xy=18

x=18/y------(i)

two digit number=10x+y

reverse =10y+x

as per the statement =10x+y-63=10y+x

9x-9y-63=0

taking 9 as common

9(x-y-7)=0

x-y-7=0

by using eq. (i)

18/y-y-7=0

multiplying y

18-y^2-7y=0

y^2+7y-18=0

y^2+9y-2y-18=0

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

(y+9)(y-2)

so,y=-9 or y=2

when we put y=2

xy=18

x×2=18

x=18/2

x=9

x=9 and y=2

hope it helps you