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When placed end to end, three red rods are 2 cm longer than than 2 blue rods. Three blue rods are 2 cm longer than four red rods. How long is each rod?

Respuesta :

mhanifa

Answer:

Red = 10 cm, blue = 14 cm

Step-by-step explanation:

Let the length of each red rod be r and each blue rod be b

Then we have:

  • 3r - 2b = 2
  • 3b - 4r = 2

Multiply the first equation by 3 and the second one by 2:

  • 9r - 6b = 6
  • 6b - 8r = 4

Add the equations to eliminate one of variables:

  • 9r - 8r = 6 + 4
  • r = 10 cm

Find the value of b:

  • 3*10 -2b = 2
  • 30 - 2 = 2b
  • 2b = 28
  • b = 14 cm

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