Question

x and y are 2 different digits. 11x +11y is a perfect square, then value of x + y is a) 10 b) 11 c) 12 d) 13​

Answer 1

Answer:

11

Step-by-step explanation:

x = 5 and y = 6

11 x 5 = 55 and 11 x 6 = 66

55+66 = 121 ( 121 is the square of 11)

Answer 2

Given :  x and y are 2 different digits.

11x +11y is a perfect square,  

To Find :  value of x + y

a) 10 b) 11 c) 12 d) 13​

Solution:

 x and y are 2 different digits.

Hence value of x + y can vary between

1 and 17

11x +11y is a perfect square,  

= 11(x + y)

x + y must be 11  to get perfect square in between 1 and  17.

as 11 * 11 = 11²

Hence Value of x + y =11

Correct option is b) 11

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