Question

x and y are 2 different digits. If the sum of the two digit numbers formed by using both the digits is a perfect square, then

value of x y + is​

Answer 1

Answer:

11

Step-by-step explanation:

let two digits are 10X +Y AND 10y + x

tere sum

10x +y + 10y + x =11x +11y =11(x+y)

sum is perfect square therefore

x+ y =11

Answer 2

Answer:

Let the two digit number have x & y as tens and unit digit

respectively.

Then the number is 10x+y.

So, its reverse number is 10y+x.

Adding, we get the sum= S= (10x+y)+(10y+x)

⟹S=11x+11y=11(x+y).

∴To make S a square number the least value of (x+y)

should be 11 so that S=11×11 which is a square number.

∴(x+y)=11.