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Working Backwards

Description:

Working Backwards questions allow you to test the answers by plugging them back into the questions. Work backwards when questions ask you to find a number that will make the question true.

Approach:

First, plug answer/choice C back into the question. Then, based on how close C fulfills the question's constraints, try the other choices until one works.


1) Steps to Working Backwards

  1. Test out answer choice C first. This is a good move because the answers on math questions are always in order in terms of size.
  2. If answer C is too big, eliminate D and E and move to choice B. If C is too small, move to answer D.
  3. Whichever answer satisfies the problem's criteria is the right choice.

2) Practice:

If the sum of three consecutive multiples of 3 is 45, what is the smallest of the three numbers?

  1. 9
  2. 12
  3. 15
  4. 18
  5. 21

If 34x + 4 = 272x, what is the value of x?

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

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