taviabedonie101 taviabedonie101
  • 02-10-2018
  • Mathematics
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Janet is 3 yrs older than her sister julie. Janet brother is eight yrs younger than their sister julie. The sum of all their ages is 55 yrs

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tramserran
tramserran tramserran
  • 02-10-2018

Janet: x + 3

Julie: x

brother: x - 8

Janet + Julie + brother = sum

x + 3  +   x     +   x - 8    =  55

3x - 5 = 55

    +5   +5

3x      = 60

[tex]\frac{3x}{3} = \frac{60}{3}[/tex]

x = 20

Janet: x + 3   ⇒   (20) + 3   = 23

brother: x - 8   ⇒   (20) - 8   = 12

Answer: Janet=23, Julie=20, brother=12

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