xyz is a 3 digit no.if the values of x&y are interchanged then the value of no decreas by 90,values for x&y=?

Answer 1

x = 3
y = 2

Number is 325.

You interchange 2 and 3 and gives: 235:

325 - 90 = 235

That´s it!

Good luck!

Answer 2

Any numbers satisfying x = 1 + y will work. That is, all of these pairs will work for (x,y)

(1,0)
(2,1)
(3,2)
(4,3)
(5,4)
(6,5)
(7,6)
(8,7)
(9,8)

Here's how. The original number's value can be expressed as:

100*x + 10*y + z

The new number's value can be expressed as

100*y + 10*x + z

You know that the second number + 90 is the first number. So equate:

100*x + 10*y + z = 100*y + 10*x + z + 90

You can subtract 100*y + 10*x + z from both sides to get:

90*x - 90*y = 90

Now divide both sides by 90:

x - y = 1

or:

x = 1 + y

Since x and y are integers, plug in every integer from 0 through 9 as y. You'll find that every integer from 0 through 8 gives you an integer for x between 0 and 9. Thus, as y goes from 0 through 8, x goes from 1 through 9.

Answer 3

The number is 100. x=1 y=0 z=0

Answer 4

xyz is a 3 digit no. means value of xyz = x*10^2 + y*10 +z ---------(1)
x and y interchanged the valuve becomes = y*10^2 + x*10 +z------(2)
Given (1) - (2) = 90
ie 90x -90y = 90
or x-y =1
therfore x&y are consicutive intigers

Answer 5

Please specify more condition of xyz, because base on the information you provided below are the possible values of xyz.

Base on the equation: xyz-90=yxz
if x=2, then y=1
if x=3, then y=2
if x=4, then y=3
if x=5, then y=4
if x=6, then y=5
if x=7, then y=6
if x=8, then y=7
if x=9, then y=8

Note the value of z can be 0,1,2,3,4,5,6,7,8,9

Answer 6

100x+10y+z-(100y+10x+z)=90
90x-90y=90
x-y=1

All you know is that x=y+1 so the answers can be:

x=1; y=0
x=2; y=1
x=3; y=2
x=4; y=3
x=5; y=4
x=6; y=5
x=7; y=6
x=8; y=7
x=9; y=8

Answer 7

All the combinations satisfying x=y+1

Answer 8

let us consider this number w.r.t. 100s,tens and ones:
xyz
=100*x+10*y+1*z..........(1)
if x and y are interchanged,then
xyz
=100y+10*x+1*z...........(2)

as per data given,
eq.1 - eq.2 =90
so, x-y=1
x=y+1
1=y+1
y=0
likewise , we get,
(x,y)=
(1,0)
(2,1)
(3,2)
(4,3)
(5,4)
(6,5)
(7,6)
(8,7)
(9,8)
so, the numbers are,

100,210,320,430,540,650,760,870,980
101,102,103,104,105,106,107,108,109
211,212,213,214,215,216,217,218,219
.............................................................
take the value of z from 1 to 9 for 320,430,540,650,760,870,980
you will have total 90 combination.