Once you attempt the question then PrepInsta explanation will be displayed.

let unit,s digit be y and tens digit be x ,then

xy=8 ————-(1)

yx=xy+18 ———(1)

from equation 2 by simplifying it ,we get:-

10y+x=10x +y +18

9y=9x+18 ,then divide both side of the equation by 9

y=x+2 ————-(3)

from equations 1 and 3 by substituting y by x+2 ,we get:-

xy=8 , x(x+2) =8

x2+2x=8 , x2+2x-8=0

then we solve the quadratic equation for what method that is easy for you either by completing square ,factoring method or by formula

now I am using by factoring

x2+2x-8=0

x2+4x-2x-8=0

x(x+4)-2(x+4) =0

(x+4)(x-2) =0

x+4=0 ,x-2=0

x=-4 , x=2

we omitted negative number and took positive integer that is x=2

then, y=y=x+2 =2+2=4

the number is the form of (xy) =24

Therefore the number is 24