If X + Y = 12, Y + Z = 13 and X + Z = 25, then X + Y + Z = ?

2025

If X + Y = 12, Y + Z = 13 and X + Z = 25, then X + Y + Z = ?

  1. A.

    75

  2. B.

    25

  3. C.

    20

  4. D.

    50

Attempted by 35 students.

Show answer & explanation

Correct answer: B

Method: Add the three given equations and simplify.

  1. Add the equations: (X + Y) + (Y + Z) + (X + Z) = 12 + 13 + 25

  2. Simplify the left side: 2(X + Y + Z) = 50

  3. Divide both sides by 2: X + Y + Z = 25

Final answer: 25

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