Question

A two digit number is such that the product of its digits is 40.when 27 subtracted from the number the digits interchange their places find the number

Answer 1

Answer:

answer is 85

because 8×5= 40

from the question when 27 is subtracted from the two digit number it interchanges their place.

85-27=58

58 is reversed 85

Answer 2

Answer:

85

Step-by-step explanation:

let the unit digit be x and tens digit be y

the no.=10y+x

ATQ, xy=40=> y=40/x......(1)

and ,

10y+x-27=10x+y

9x-9y=-27

x-y=3

x-40/x=-3 (from 1)

x²-40=-3x

x²+3x-40=0

x²+8x-5x-40=0

x(x+8)-5(x+8)=0

(x+8)(x-5)=0

either x=5 or x=-8(not possible)

y=40/5=8

hence no.=10(8)+5

=85