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bulgar [2K]
3 years ago
8

Mary is thinking of three consecutive even integers, x, y, and z. Three times the value of z exceeds half the value of x by 37.

What is the value of x?
Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

  x = 10

Step-by-step explanation:

You know z = x+4, so ...

  3z -x/2 = 37 . . . . . . . . the given relation

  3(x +4) -x/2 = 37 . . . . substituting for z

  5/2x +12 = 37 . . . . . . .eliminate parentheses and simplify

  5/2x = 25 . . . . . . . . . . subtract 12

  x = 10 . . . . . . . . . . . . . multiply by 2/5

_____

<em>Check</em>

3z = 3·14 = 42

x/2 = 10/2 = 5

42 exceeds 5 by 37 . . . . true

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Answer:

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