carolinehenry84
carolinehenry84 carolinehenry84
  • 06-12-2016
  • Mathematics
contestada

Jason is 11 times older than Zack. The sum of their ages is 48. How old is Zack?

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Noah11012
Noah11012 Noah11012
  • 06-12-2016
Let j = Jason's age
Let z = Zack's age

j = 11z // Jason is 11 times older than zack
j + z = 48 // The sum of their ages in 48

j = 11z becomes j - 11z = 0

j - 11z = 0
j + z = 48
Multiply the top equation by -1

-1(j - 11z) = (0)-1
-j + 11z = 0

-j + 11z = 0
j + z = 48

Add both equations to cancel the j terms.

12z = 48

Divide both sides by 12.

z = 4

Zack is 4 years old and Jason is 44 years old.

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