# SAT Math Multiple Choice Practice Question 367: Answer and Explanation

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**Question: 367**

**15.**

In the figure above, and . If *a, b*, and *c* are all integers, what is the greatest possible value of *b*?

A. 43

B. 46

C. 60

D. 86

E. 89

**Correct Answer:** B

**Explanation:**

**B** From the diagram, we know that , and we know that .

If you want *b* to be as large as possible, then you need to make the sum of *a* and *c* as small as possible. The smallest integer value of *a* possible is 91. So let's say that *a* = 91.

So 43 is the largest possible value of *c*; this means that is the largest possible value of *b*.