Allyemilyrii Allyemilyrii
  • 16-03-2017
  • Mathematics
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What 3 consecutive even integers are 3 times the sum of the first two was 58 less than 14 times the opposite of the third?

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apologiabiology
apologiabiology apologiabiology
  • 16-03-2017
even integers are 2 apart

they are
x,x+2,x+4

so
smallest is x, biggest is x+4


3(x+x+2)=-58+14(-1)(x+4)
simplify
3(2x+2)=-58-14(x+4)
expand
6x+6=-58-14x-56
6x+6=-14x-114
add 14x both sides
20x+6=-114
minus 6 both sides
20x=-120
divide both sides by 20
x=-6
x+2=-4
x+4=-2


de numbers are -6,-4,-2
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