Question

9+_+_=15
_+6+_=9
_+_+3=29
19 11 15

Answer 1

Answer:

$9+3+3=15, 1+6+2=9, 13+13+3=29$.

Step-by-step explanation:

• Lets replace the underscores with the variables.

• Therefore, we get

              $9+x+x$ $=$ $15$

              $2x+9 = 15$

              $2x = 6$

              $x = 3$.

• Therefore the equation is $9+3+3=15.$
• Similarly,

              $y+6+y = 9$

             $2y = 3$

             $y = 1.5$

• If you get a decimal number, round off to its lower number or higher number and pair it with its vice versa. e.g 1,2 or 2,1.
• Therefore the equation is  $1+6+2=9.$
• Similarly,

             $z+z+3 = 29$

            $2z = 26$

            $z = 13$

• Therefore the equation is $13+13+3 = 29.$

Answer 2

Multiple solutions possible

One solution is :

9  +    1  +  5    =  15

-4   +  6   +  7     =  9

14    + 4    +  3  =   21    

=       =      =

19     11      15

Given :

9  +      +     =  15

    +  6  +    =  9

    +       + 3  =  21      ( correction 29 should be 21)

=       =      =

19     11     15

To Find;

Fill the empty spaces to satisfy each row and column

Solution:

Assume variable in missing spaces

9  +   a    +  b    =  15

c     +  6   +  d     =  9

e    +   f     +  3  =  21    

=       =      =

19     11     15

Find All variables in terms of a

9 + a + b = 15  => b = 6 - a

a + 6 + f  = 11  => f = 5 - a

b + d + 3 = 15 => 6 - a + d  = 12  => d = 6 + a

c + 6 + d = 9 => c + 6 + 6 + a = 9 => c = -3 - a

9 + c + e = 19  => -3 - a + e = 10 => e = 13 + a

9         +    a        + (6-a)      =  15

-a-3      +    6       +  (6+a)     =  9

13+a     +  (5-a)      +  3          =  21    

   =          =             =

 19           11         15

Multiple solutions possible taking different values of a

Taking a = 0

9  +   0   +  6    =  15

-3   +  6   +  6     =  9

13    + 5    +  3  =   21    

=       =      =

19     11      15

Taking a = 1

9  +    1  +  5    =  15

-4   +  6   +  7     =  9

14    + 4    +  3  =   21    

=       =      =

19     11      15

and so on

( Question has mistakes as sum of all columns and all row is different ,

correct Question can be 21 instead of 29)

So That sum of All rows and columns = 45