SOLUTION: what are two consecutive even integers such that the sum of the larger and 3 times the smaller is 234?

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Question 131697This question is from textbook
: what are two consecutive even integers such that the sum of the larger and 3 times the smaller is 234? This question is from textbook

Found 2 solutions by stanbon, checkley71:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what are two consecutive even integers such that the sum of the larger and 3 times the smaller is 234?
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Represent even numbers as "2n" since each is a multiple of 2.
Represent odd numbers as "2n+1" since each is one more than an even.
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Your problem:
smaller # : 2n
larger #: 2n+2
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EQUATION:
2n+2 + 3(2n) = 234
8n = 232
n = 29
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smaller = 2*29 = 58
larger = 2n+2 = 60
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Cheers,
Stan H.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
x+2+3x=234
4x=2=234
4x=234-2
4x=232
x=232/4
x=58 answer for the smaller even nunmber.
58+2=60 answer for the larger even number.
proof:
60+3*58=234
60+174=234
234=234