1958 AMC 12 Question 45
AMC12 · 1958 AMC 12
A check is written for $x$ dollars and $y$ cents, $x$ and $y$ both two-digit numbers. In error it is cashed for $y$ dollars and $x$ cents, the incorrect amount exceeding the correct amount by $\$17.82.$ Then:
$x$ cannot exceed $70$
$y$ can equal $2x$
the amount of the check cannot be a multiple of $5$
the incorrect amount can equal twice the correct amount
the sum of the digits of the correct amount is divisible by
$9$