Question

_+_=8 _+_=13 _-_=6 _+_=8

Answer 1

By splitting the question into separate parts, the answer is given below. The Missing number from the question is marked as 'x' in the solution.

_+_=8 _+_=13 _-_=6 _+_=8

x + x = 8; 4 + 4 = 8

x + 5 = 13; x from above answer is 8. By following the same pattern;

8 + 5 = 13

13 - 7 = 6

6 + 2 = 8

Answer 2

We write the given problem as follows :

a + b = 8

+ +

c - d = 6

ll ll

13 8

Thus we form four equations :

• a + b = 8 ..... (1)
• a + c = 13 ..... (2)
• b + d = 8 ..... (3)
• c - d = 6 ..... (4)

Adding (3) and (4), we have

b + d + c - d = 8 + 6

or, b + c = 14 ..... (5)

Subtracting (2) from (1), we get

a + b - a - c = 8 - 13

or, b - c = - 5 ..... (6)

Now we add (5) and (6):

b + c + b - c = 14 - 5

or, 2b = 9

or, b = 4.5

Putting b = 4.5 in (5), we get

4.5 + c = 14

or, c = 14 - 4.5

or, c = 9.5

Putting c = 9.5 in (2), we get

a + 9.5 = 13

or, a = 13 - 9.5

or, a = 3.5

Putting b = 4.5 in (3), we get

4.5 + d = 8

or, d = 8 - 4.5

or, d = 3.5

Therefore we have the following structure :

(3.5) + (4.5) = 8

+ +

(9.5) - (3.5) = 6

ll ll

13 8