An algebra problem by Victor Petyuk

Algebra Level 2

For integers $a$ , $b$ , and $k$ , $a>12$ , $b<20$ , and $a<b$ . If $b=7k$ , what is $k$ ?

2 Not Enough Info 3 14

1 solution

Victor Petyuk
May 20, 2018

$b=7k$ implies that $k$ is a multiple of $7$ . Since it has to be between $12$ and $20$ from $a>12$ and $b<20$ , and also $a<b$ , the only multiple of $7$ that fits in these boundaries is $14$ . Since that is $7$ times the answer from $b= 7k$ , $\frac{14}{7}=2$ .

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Zeeshan Ali - 3 years ago

An algebra problem by Victor Petyuk

1 solution

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