[ ] + [ ] = 8
+. +
[ ] + [ ] = 6
=. =
13. 8
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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
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