Difference between revisions of "2022 MMATHS Problems/Problem 1"
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Suppose that <math>a+b = 20, b+c = 22,</math> and <math>a+c = 2022</math>. Compute <math>\frac {a-b}{c-a}</math>. | Suppose that <math>a+b = 20, b+c = 22,</math> and <math>a+c = 2022</math>. Compute <math>\frac {a-b}{c-a}</math>. |
Revision as of 20:54, 18 December 2022
Problem
Suppose that and
. Compute
.
Solution 1
We solve everything in terms of .
and
. Therefore,
. Solving for
, we get that
= 1010. Since
. Since
. Computing
gives us the answer of
.
~Arcticturn