Answers

  • Brainly User
2016-03-16T23:36:51+08:00
Present ages:
Nephew: x
Zeus: x + 18

Ages one year ago:
Nephew: x - 1
Zeus : x + 18 - 1   or  x + 17

Equation:
x + 17 = 3 (x - 1)
x + 17 = 3x - 3
17 + 3 = 3x - x
2x = 20
2x/2 = 20/2
x = 10

Substitute 10 for x:
Present Ages:
Nephew: x = 10 years old
Zeus = 10 + 18 = 28 years old

Zeus is 18 years older than his nephew:
28 = 10 + 18
28 = 28 (true)

ANSWER:  Zeus is 28 years old, while his nephew is 10 years old.

Ages one year ago:
Nephew: 10 - 1 = 9 years old
Zeus: 28 - 1 = 27 years old

Check:
One year ago, Zeus was three times as old as his nephew:
27 = 3 (9)
27 = 27  (true)
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