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.

Question

3 years ago

8

What is the value of x?

1 answer:

Naya [18.7K] · Answer 1 · 2022-04-27T13:56:46+03:00

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

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<em>Check</em>

3z = 3·14 = 42

x/2 = 10/2 = 5

42 exceeds 5 by 37 . . . . true