anonymous
  • anonymous
There are two consecutive even numbers such that five times the smaller minus three times the greater is 6. What is the smaller number?
Mathematics
schrodinger
  • schrodinger
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dumbcow
  • dumbcow
even number is 2n, next even is 2n+2 5(2n) - 3(2n+2) = 6 distribute and add like terms 10n - 6n -6 = 4n -6 = 6 solve for n 4n = 12 n = 12/4 = 3 smaller num is 2n 2n = 6
anonymous
  • anonymous
If x (the smaller), the greater will be y=(x+2) According to your problem 5x-3(x+2)=6 5x-3x-6=6 2x=12 2x=12 x=12/2 x=6
anonymous
  • anonymous
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anonymous
  • anonymous
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