COVID-19!

Number Theory Level 3

$C$ , $O$ , $V$ , $I$ , and $D$ are distinct digits. $\overline {COVID}-19$ is the square of the number $\overline {CVO}$ . If $C$ , $V$ , and $O$ are in a geometric progression , find the smallest $\overline {COVID}$ .

The answer is 19340.

1 solution

Culver Kwan
Mar 19, 2020

We try from the smallest possible value of $C$ , which is $1$ . Then the smallest possible value of $V$ and $O$ are $2$ and $4$ respectively. But then $\overline{COVID}=\overline{CVO}^2+19=15395$ , which is not our answer. So we try $V=3$ and $O=9$ . Then $\overline{COVID}=\overline{CVO}^2+19=19340$ , which is a possible answer. So the smallest possible value of $\overline{COVID}=19340$ .

a weird problem...

Krishna Karthik - 1 year, 2 months ago

COVID-19!

The answer is 19340.

1 solution

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