1957 AHSME Problems/Problem 8
The numbers are proportional to . The sum of , and is . The number y is given by the equation . Then a is:
Solution
In order to solve the problem, we first need to find each of the three variables. We can use the proportions the problem gives us to find the value of one part, and, by extension, the values of the variables (as would have parts, would have , and would have ). One part, after some algebra, equals , so , , and are , , and , respectively.
We can plug and into the equation given to us: , and then solve to get .
See Also
1957 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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