Question

A two digit no. is such that tha product of its digit is 14. if 45 is added to the no. the digit interchanges their places. Find the no.​

Answer 1

Step-by-step explanation:

let the number be 10x+y

ATQ

xy=14

10x+y+45=10y+x

9x-9y+45=0

x-y=-5

x=y-5

y(y-5)=14

y^2-5y-14=0

y^2-7y+2y-14=0

y(y-7)+2(y-7)=0

(y+2)(y-7)=0

so y=-2 or y=7

x=-7or x=2

so number is -68 or 72

the number can't be negative

So the number required are 72.

Answer 2

Refers to attachment ☆~