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Eureka is 14 years younger than Renton. In 5 years Renton will be three times as old as Eureka. Eureka's...

Eureka is 14 years younger than Renton. In 5 years Renton will be three times as old as Eureka.
Eureka's current age:
Renton's current age:

Answer

Let Renton's current age be R and Eureka's current age be E.

  1. From the problem, we know E = R - 14.
  2. In 5 years, Renton's age will be R + 5 and Eureka's age will be E + 5.
  3. According to the problem, R + 5 = 3(E + 5).
  4. Substitute E = R - 14 into the equation: R + 5 = 3((R - 14) + 5).
  5. Simplify: R + 5 = 3(R - 9).
  6. R + 5 = 3R - 27.
  7. Subtract R from both sides: 5 = 2R - 27.
  8. Add 27 to both sides: 32 = 2R.
  9. Divide by 2: R = 16.
  10. Substitute R = 16 into E = R - 14: E = 16 - 14 = 2.

Eureka's current age: 2

Renton's current age: 16

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