1961 AHSME Problems/Problem 23
Problem
Points and are both in the line segment and on the same side of its midpoint. divides in the ratio , and divides in the ratio . If , then the length of is:
Solution
Draw diagram as shown, where and are on the same side. Let and .
Since divides in the ratio , . Since divides in the ratio , . Cross multiply to get a system of equations. Solve the system to get and . Thus, , so the answer is .
See Also
1961 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
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