shsbbdDnsgs7517 shsbbdDnsgs7517
  • 02-07-2018
  • Mathematics
contestada

The sum of liz's and melinda's ages is 28. if liz was 1/3 melinda's age 6 years ago, how old will liz be next year?

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carlosego
carlosego carlosego
  • 11-07-2018
The first thing we must do for this case is to define variables:
 We have then:
 x: liz's age
 y: melinda's age
 We now write the system of equations:
 [tex]x + y = 28 x-6 = (1/3) (y-6)[/tex]
 By solving the system graphically we have that the age of each one is currently:
 [tex] x = 10 y = 18[/tex]
 Next year, the age of liz is:
 [tex]x + 1 = 10 + 1 = 11 [/tex]
 Answer:
 
Next year, Liz's age is 11 years.
 
Note: see attached image for the graphic solution.
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