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The number 3 divides ‘a’ with a result of ‘b’ and a remainder of 2.

The number 3 divides ‘b’ with a result of 2 and a remainder of 1.

What is the value of a?

  • A.13
  • B.17
  • C.21
  • D.23

Answer: D

Work outward from the second statement.

\[ b = 3 \times 2 + 1 = 7 \]

\[ a = 3b + 2 = 3 \times 7 + 2 = 23 \]

Checking: \( 23 \div 3 = 7 \) remainder 2, and \( 7 \div 3 = 2 \) remainder 1.

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