Answer :

The ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

Algebra

  • Alan's age = x years
  • Nate's age = (x - 2) years
  • Kai's age = 1/2x
  • Total ages = 63 years

63 = x + (x - 2) + 1/2x

63 = x + x - 2 + 1/2x

63 = 2 1/2x - 2

63 + 2 = 2 1/2x

65 = 5/2x

  • divide both sides by 5/2

x = 65 ÷ 5/2

x = 65 × 2/5

= 130/5

x = 26

Recall,

Alan's age = x years

= 26 years

Nate's age = (x - 2) years

= (26 - 2)

= 24 years

Kai's age = 1/2x

= 1/2(26)

= 13 years

Therefore, the ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

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