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Solution


Given:
    • The difference of two negative numbers is 2
    • The greater of the two numbers is 10 more than thrice the lesser

To find:
    • The sum of the two numbers

Approach and Working Out:
Let us assume that x and y are the two negative numbers, and x > y
    • Now, from the given information, we have
      o x – y = 2, and ………………. (1)
      o x = 3y + 10 ………………………………... (2)

    • Solving (1) and (2), we get,
      o y + 2 = 3y + 10
      o Thus, y = -4, and x = 2 – 4 = -2

    • Therefore, x + y = -2 – 4 = -6

Hence, the correct answer is Option C.

Answer: C


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