# The sum of the digits of a two digit number is 12. If 54 is subtracted from the number, the digit get reversed. Find the number

2
by Bachu

• Brainly User
2014-07-23T20:52:23+05:30

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The number is 93
9+3=12
93-54=39
hence the number gets reversed when 54 is subtracted from 93.
( I found this by trial and error method )
Can u pls explain more clearly....
let digit at tens place=x and at one's place=y
no.= 10x + y
x+y =12
10x +y - 54=10y +x
solve the two equations acoordingly and you get the answer as 93
this is the logic of the program
ok but i did not copy u
2014-07-23T21:11:58+05:30
Let the digit of unit place=x  and digit of 10th place=y
so, number is (x+10y)
after reversing of digit number will be (y+10x)
a/q,
x+y=12 ------------EQN(1)
now,
(x+10y)-54=(y+10x)
or,   -9x+9y=54
or,    x-y=-6 --------EQN(2)