anonymous
  • anonymous
Find three consecutive even integers such that three times the sum of the first and third is 24 greater than 4 times the second.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
the first step to solving these kinds of questions is to write down some equations based on the conditions
anonymous
  • anonymous
lets consider the first condition: three consecutive even integers
anonymous
  • anonymous
ok

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More answers

anonymous
  • anonymous
how would you represent them mathematically?
anonymous
  • anonymous
by variables?
anonymous
  • anonymous
yes
anonymous
  • anonymous
lets say n is an integer
anonymous
  • anonymous
how would you write three consecutive even integers using n?
anonymous
  • anonymous
n cubed?
anonymous
  • anonymous
you can represent even numbers as 2n+1 or 2n or 2n+2...
anonymous
  • anonymous
ohh ok
anonymous
  • anonymous
the next condition: three times the sum of the first and third is 24 greater than 4 times the second
anonymous
  • anonymous
so your first step would be choosing the three consecutive numbers you want to use
anonymous
  • anonymous
for simplicity, lets use: 1st: 2n 2nd: 2n+1 3rd: 2n+2
anonymous
  • anonymous
now write down the equation
anonymous
  • anonymous
ok
anonymous
  • anonymous
Now what?
anonymous
  • anonymous
did you write the equation?
anonymous
  • anonymous
yes
anonymous
  • anonymous
show me
anonymous
  • anonymous
how?
anonymous
  • anonymous
like this: three times the first so, 3(2n)...continue
anonymous
  • anonymous
I have NO idea if I'm right but 3(2n) + (2n + 2) +24 + 4(2n+1)
anonymous
  • anonymous
lol im sorry i gave you the wrong lead
anonymous
  • anonymous
three times the sum of the first and third will be: 3(2n+2n+2)
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
I'm really bad at math
anonymous
  • anonymous
i think it'll be easier if i give you the equation and then explain it
anonymous
  • anonymous
heres the equation: 3(2n+2n+2)=24+4(2n+1)
anonymous
  • anonymous
use this list to help you: greater : + is : = times : * sum of x and y : (x+y)
anonymous
  • anonymous
ok

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