# SAT Math Multiple Choice Question 775: Answer and Explanation

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**Question: 775**

**10.** The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?

- A. 96
- B. 120
- C. 140
- D. 144

**Correct Answer:** D

**Explanation:**

**D**

**Problem Solving (rates) MEDIUM**

Let's call the three numbers *a*, *b*, and *c*.

If their sum is 240,

*a* + *b* + *c* = 240

Let's say the largest number is *c*. If this is 50% larger than the sum of the others,

*c* = 1.5(*a* + *b*)

Divide by 1.5:

Substitute into the first equation:

Multiply by 1.5:

*c* + 1.5*c* = 360

Simplify:

2.5*c* = 360

Divide by 2.5:

*c* = 144