1991 AJHSME Problems/Problem 9
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Problem
How many whole numbers from through
are divisible by either
or
or both?
Solution
There are numbers divisible by
,
numbers divisible by
, so at first we have
numbers that are divisible by
or
, except we counted the multiples of
twice, once for
and once for
.
There are numbers divisible by
, so there are
numbers divisible by
or
.
See Also
1991 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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