The square of a two digit number is divided by half the number After 36 is added to the quotient

let the two digit number be xy
so....
square of the number is (xy)^2
half of the number is (xy)/2
the quotient for the ... square of the number divided half of the number is 2xy
according to problem
(36+quotient)/2=yx
we already got quotient=2xy
(36+2xy)/2=yx

by solving we get xy-yx=18.........(1)
for example 52
we can write it as 5*10+2
in the same way we can write eq(1) as
(10x+y)-(10y+x)=18
y-x=2
31,42,53,64,57,68,79

I
12 years agoHelpfull: Yes(11) No(6)
if xy is the number , resulting number is xy+18 =yx
It is possible when y =x+2

Such numbers are
13,24,35,46 , 57 ,68,79
13 years agoHelpfull: Yes(9) No(3)
7 such numbers are there. They are 13,24,35,46,57,68,79.
13 years agoHelpfull: Yes(6) No(7)
suppose two digit number is =xy
The square of a two digit number is =(xy)2
Then it divided by half the number =(xy)2/(xy/2)=2(xy)
After 36 is added to the quotient =2xy+36
This sum is then divided by 2 =(2xy+36)/2 = (xy)+18
If we take 46 from the given option =(46)+18=64
Note:The digits of the resulting number are the same as those in the original number, but they are in reverse order.
9 years agoHelpfull: Yes(1) No(1)
Ans is 7
Explanation : ((xy)^2)/(xy/2) =(2xy +36)/2= xy +18
Now putting x=0 ,y=2 we get 02+ 18 = 20(not accepted becoz 02 is not 2 digit no)
then x=1,y=3 we get 13 + 18= 31
like this 24,35,46,57,68,79
So the total nos are 7
9 years agoHelpfull: Yes(0) No(0)

The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. how many such no r there