1975 AHSME Problems/Problem 14
Problem 14
If the is
when the
is
and the
and
is
,
what is the
when the
is
, the
and
is
and the
is two
(
and
are variables taking positive values)?
Solution
From the problem, we are given:
![$whatsis = so$](http://latex.artofproblemsolving.com/b/e/2/be2e2c9c018fc00bbbd15c084419387da03205cc.png)
![$whosis = is$](http://latex.artofproblemsolving.com/9/f/e/9fe87567abba61c54d4ab3fcc9ffd413b7288185.png)
![$so + so = is \cdot so$](http://latex.artofproblemsolving.com/5/1/f/51f1fca5774f59ff5e9367840c1dc15f2061f437.png)
We want to find what is when
,
, and
.
Since and
(from the given), that means
. Now we know that
and
as well because they are equal to
and
, respectively.
Plugging in the values, we get . This also means that
.
Taking a look at the answer choices, we see that our answer is . ~jiang147369
See Also
1975 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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