1997 AJHSME Problems/Problem 2

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Problem

Ahn chooses a two-digit integer, subtracts it from 200, and doubles the result. What is the largest number Ahn can get?

$\text{(A)}\ 200 \qquad \text{(B)}\ 202 \qquad \text{(C)}\ 220 \qquad \text{(D)}\ 380 \qquad \text{(E)}\ 398$

Solution

The smallest two-digit integer he can subtract from $200$ is $10$. This will give the largest result for that first operation, and doubling it will keep it as the largest number possible.

\[200-10=190\] \[190\times2=380\]

$\boxed{\textbf{(D)}}$

See also

1997 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
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All AJHSME/AMC 8 Problems and Solutions

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