x + y = 12, y + z = 15 మరియు x + z = 18, అయితే x + y + z =?

  1. 18
  2. 12
  3. 15
  4. 22.5

Answer (Detailed Solution Below)

Option 4 : 22.5
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Detailed Solution

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ఇచ్చినది:

x + y = 12, y + z = 15, x + z = 18

లెక్కింపు:

x + y = 12      ----(1)

y + z = 15      ----(2)

x + z = 18      ----(3)

సమీకరణాలు (1) మరియు (2) పరిష్కరించగా

⇒ x – z = -3      ----(4)

సమీకరణాలు (3) మరియు (4) పరిష్కరించగా

⇒ x = 7.5

 x విలువను సమీకరణం (1)లో ప్రతిక్షేపించగా,

⇒ y = 4.5

 y విలువను సమీకరణం (2)లో ప్రతిక్షేపించగా,

⇒ z = 10.5

x + y + z

⇒ 7.5 + 4.5 + 10.5

⇒ 22.5

∴ x + y + z విలువ 22.5.
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