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The given question can be written as :
a + b = 14
+ +
c - d = 10
ll ll
15 16
We get four equations :
- a + b = 14 ..... (1)
- a + c = 15 ..... (2)
- b + d = 16 ..... (3)
- c - d = 10 ..... (4)
(1) - (2) gives
a + b - a - c = 14 - 15
or, b - c = - 1 ..... (5)
(3) + (4) gives
b + d + c - d = 16 + 10
or, b + c = 26 ..... (5)
(5) + (6) gives
b - c + b + c = - 1 + 26
or, 2b = 25
or, b = 12.5
Putting b = 12.5 in (5), we get
12.5 - c = - 1
or, c = 12.5 + 1
or, c = 13.5
Putting b = 12.5 in (1), we get
a + 12.5 = 14
or, a = 14 - 12.5
or, a = 1.5
Putting b = 12.5 in (3), we get
12.5 + d = 16
or, d = 16 - 12.5
or, d = 3.5
Therefore we obtain the answer as :
[1.5] + [12.5] = 14
+ +
[13.5] - [3.5] = 10
ll ll
15 16
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