pinklemons2200 pinklemons2200
  • 21-05-2022
  • Mathematics
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what are three consecutive multiples of 3 if 2/3 of the sum of the first two numbers is 1 greater than the third number.

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okikiolu3
okikiolu3 okikiolu3
  • 21-05-2022

Answer:

the numbers are 15, 18, 21

Step-by-step explanation:

let the 3 consecutive multiples of 3 be:  

3x, 3(x+1), 3(x+2)

(2/3)(3x + 3(x+1)) =3(x+2)+1

(2 /3)(6x+ 3) = 3x+6+1

2(2x+1) = 3x + 7

4x + 2 = 3x + 7

x =  5

so:

3x = 15

3(x+1) = 18

3(x+2) = 21

the numbers are 15, 18, 21

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