Euc20191/Sub-Problem 2: Difference between revisions
Baihly2024 (talk | contribs) Created page with "==Problem== What integer <math>a</math> satisfies <math>3<\frac{24}{a}<4</math>?" |
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What integer <math>a</math> satisfies <math>3<\frac{24}{a}<4</math>? | What integer <math>a</math> satisfies <math>3<\frac{24}{a}<4</math>? | ||
==Solution== | |||
If <math>a=6</math>, then <math>\frac{24}{6}=4</math> and if <math>a=8</math>, then <math>\frac{24}{8}=3</math>. So, <math>a</math> has to be between <math>6</math> and <math>8</math>, and therefore, it has to be <math>\boxed{7}</math>. | |||
~Yuhao2012 | |||
Latest revision as of 10:32, 13 October 2025
Problem
What integer
satisfies
?
Solution
If
, then
and if
, then
. So,
has to be between
and
, and therefore, it has to be
.
~Yuhao2012