Question

__+__ =8
+ +
__ - __= 6
=13 =8​

Answer 1

Answer:

(3.5)  +  (4.5)   =     8

+              +  

(9.5)  -    (3.5)   =    6

=               =

13              8

Answer 2

Step-by-step explanation:

Let the number in top two empty spaces be called a and b.

Let the numbers in bottom two empty spaces be called c and d.

Given,

a + b = 8 Equation 1

c - d = 6 Equation 2

a + c = 13 Equation 3

b + d = 8 Equation 4

In equation 1 and equation 4,

a + b = 8 b + d = 8

Subtracting these equations,

a + b - b - d = 8 - 8

a - d = 0

a = d

In equation 2,

c - d = 6

Replacing d with a,

c - a = 6

-(a - c) = 6

a - c = - 6 Equation 5

In equation 5, a - c = -6

In equation 3, a + c = 13

Adding these equations,

2a = 7

a = 3.5

In equation 1,

a + b = 8

3.5 + b = 8

b = 4.5

In equation 3,

a + c = 13

3.5 + c = 13

c = 9.5

In equation 4,

b + d = 8

4.5 + d = 8

d = 3.5

Now, last final condition which will check all the values is,

In equation 2,

c - d = 6

9.5 - 3.5 = 6

6 = 6

Hence proved

Therefore,

a = 3.5

b = 4.5

c = 9.5

d = 3.5

3.5 + 4.5 = 8

+ +

9.5 - 3.5 = 6

= =

13 8

This is the most appropriate method.

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