Lesson: Data Sufficiency Challenging - 20t01

Multiple Steps: Example 2

[Page 20 of 24]

If m and n are positive integers, are m and n consecutive integers?

1)

2)

The question stem asks whether m and n are consecutive numbers. What are the two ways to represent this relationship algebraically?

m =

m =

Countinue

If m and n are consecutive, one of two things will be the case: either m is 1 greater than, or 1 less than, n. So, algebraically, either m = n – 1 or m = n + 1.

Whenever you get a question that asks about consecutive integers, whether it be Data Sufficiency or Problem Solving, remember that consecutive integers can always be expressed in this algebraic way. In this case, we’re basically trying to determine whether m = n – 1 or m = n + 1. Or perhaps m and n aren’t consecutive at all and neither of these will be true.

Countinue

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