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Answer:

Keil is 21 years old.

Step-by-step explanation:

N → Neil’s age

K → Keil’s age

  1. K = N + 6 (Indicates that Neil is 6 years younger than Keil)
  2. K + N = 36 (Indicates that both their ages add up to 36)

⇒ N + 6 + N = 36 (‘N + 6’ is equivalent to K, as shown is the 1st equation)

        2N + 6 = 36

             2N = 36 – 6

             2N = 30

               N = 30 ÷ 2

               N = 15                                        ∴ Neil’s age is 15.

⇒ K + 15 = 36 (’15’ has substituted ‘N’ in the 2nd equation, as Neil is 15)

          K = 36 – 15

          K = 21                                             ∴ Keil is 21 years old.

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