Math, asked by illavenkataramana32, 10 months ago

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Answered by LeParfait
0

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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