Question

anyone who answer my question

Answer 1

First giving names to the boxes , as :

$\boxed{a} \: \: + \: \: \boxed{b} \: \: = 8 \\ + \: \: \: \: \: \: \: \: \: \: \: + \\ \boxed{c} \: \: - \: \: \boxed{d} = 6 \\ | | \: \: \: \: \: \: \: \: \: \: \: \: \: || \\ 13 \: \: \: \: \: \: \: \: \: \: \: 8$





From the figure ,

Sum of a and b is 8



= > a + b = 8 - - - - ( 1 )



But, as we can see that the sum of b and d is also 8 ,


= > b + d = 8


Putting value from ( 1 ) ,


= > b + d = a + b

= > b - b + d = a

$\bold{= > d = a }$






Now,

= > c - d = 6

$= > c - a = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: | \bold{a \: = \: d }$


Adding 2a on both sides ,


= > c - a + 2a = 6 + 2a

= > c + a = 6 + 2a

$= > 13 = 6 + 2a \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ | \: from \: figure :a \: + \: c = 13}$

= > 7 = 2a

= > 7 / 2 = a




Then,
a = d

= > 7 / 2 = d






In ( 1 ) ,

a + b = 8

$= > \frac{7}{2} + b = 8 \\ \\ \\ = > b = 8 - \frac{7}{2} \\ \\ \\ = > b = \frac{9}{2}$






In c - d = 6


= > c - d = 6

$= > c - \frac{7}{2} = 6\\ \\ \\ = > c = 6+ \frac{7}{2} \\ \\ \\ = > c = \frac{19}{2}$




Hence, box will be filled as :


$\boxed{ \frac{7}{2}} \: \: + \: \: \boxed{ \frac{9}{2} } \: \: = 8 \\ \: \: + \: \: \: \: \: \: \: \: \: \: \: + \\ \boxed{ \frac{19}{2} } \: - \: \boxed{ \frac{7}{2}} = 6 \\ \: \: \: | | \: \: \: \: \: \: \: \: \: \: \: \: || \\ 13 \: \: \: \: \: \: \: \: \: \: \: \: \: 8$