# A 2 digit is such that the product of its digits is 20.if 9 is added to the number the digits interchange their places find the number. with all the steps

2
by Jeena

2014-05-12T20:04:06+05:30
Let the digits of the 2nos. be x and y respectively....x is the digit in the tens place and y in the units place....from the first statement we get : x*y=20...............(i)
and from the second statement we find: 10*x +y =20 ......................(ii)
on solving (i) and (ii) ....
u will get x=4 and y=5

x-y=1??? from where does that come from??
dude solve it properly ,its a standard question ,ull get it
ya i did that.....and my solution is correct...if u thnk its wrong give me a check ...!!
let x= once digit and y is tenth digit.
Then , number is 10y+x
So, if the digits interchange their places, then the number is 10x+y
now,
xy=20 ....(i)
10y+x+9=10x+y
or 9x-9y=9
or x-y=1 ..(ii)
From (i) and (ii) , we get
x(x-1)=20=4X5
x=4 or 5 , but as x-y=1 , then x=5 and y=4
The number is 45.
thats what i did!! instead of fully solving it....i gave the equations!!
2014-05-12T20:20:06+05:30
The required number is 45