Difference between revisions of "2021 JMPSC Sprint Problems/Problem 1"
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<math>\frac{1}{3}+\frac{1}{6}+\frac{1}{9}=\frac{6}{18}+\frac{3}{18}+\frac{2}{18}=\frac{11}{18}</math> and <math>3+6+9=18</math>, so the answer is <math>\frac{11}{18}\cdot18=\boxed{11}</math>. | <math>\frac{1}{3}+\frac{1}{6}+\frac{1}{9}=\frac{6}{18}+\frac{3}{18}+\frac{2}{18}=\frac{11}{18}</math> and <math>3+6+9=18</math>, so the answer is <math>\frac{11}{18}\cdot18=\boxed{11}</math>. | ||
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==See also== | ==See also== | ||
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#[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]] | #[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]] | ||
#[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
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{{JMPSC Notice}} | {{JMPSC Notice}} |
Revision as of 16:10, 11 July 2021
Contents
Problem
Compute .
Solution
Solving the right side gives . Distributing into the left side gives , so the answer is .
Solution 2
and , so the answer is .
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.