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If the given interchanges namely: signs + and ÷ and numbers 2 and 4 are made, which one of the following four equations would be correct?

  • A.2 ÷ 4 + 3 = 3
  • B.4 ÷ 2 + 6 = 1.5
  • C.4 ÷ 2 + 3 = 4
  • D.2 + 4 ÷ 6 = 8

Answer: D

Correct answer: 2 + 4 ÷ 6 = 8

Making both interchanges in this equation turns the plus into a divide and the divide into a plus, and swaps the 2 and the 4, giving \[ 4 \div 2 + 6 = 2 + 6 = 8, \] which is correct. In each of the other three the same two interchanges leave a left side that does not match the number on the right.

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