Question

a two digit number is such that the product of the digits is 20.if 9 is subtracted from the number ,the digits interchange their places.Find the numbers

Answer 1

this your answer it helps u

Answer 2

The number is 54

Step-by-step explanation:

Let the unit's place digit be x

let ten's place digit be y

Number = 10x+y

We are given that the product of digits is 9

So, $xy=20$ -- A

if 9 is subtracted from the number ,the digits interchange their places

So,$10x+y-9 = 10y+x$

$9x-9y=9$

$x-y = 1$-- B

Substitute the value of x from A in B

$\frac{20}{y}-y = 1$

$20-y^2 = y$

$y^2+y-20=0$

$(y-4)(y+5)=0$

y = 4,-5

So, Units place is 4

When y is 4

$x-y = 1$

$x-4 = 1$

x=5

Hence the number is 54

#Learn more :

1) https://brainly.in/question/11157, Answered by Prmkulk1978