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Difference between revisions of "1991 AJHSME Problems/Problem 1"

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[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Algebra Problems]]
 
{{MAA Notice}}
 
{{MAA Notice}}
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==Solution==
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<cmath>\begin{align*}
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1,000,000,000,000-777,777,777,777 &= 999,999,999,999-777,777,777,777+1 \\
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&= 222,222,222,222+1 \\
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&= 222,222,222,223 \rightarrow \boxed{\text{B}}.
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\end{align*}</cmath>

Latest revision as of 18:26, 11 June 2025

Problem

$1,000,000,000,000-777,777,777,777=$

$\text{(A)}\ 222,222,222,222 \qquad \text{(B)}\ 222,222,222,223 \qquad \text{(C)}\ 233,333,333,333 \qquad \\ \text{(D)}\ 322,222,222,223 \qquad \text{(E)}\ 333,333,333,333$

See Also

1991 AJHSME (Problems • Answer Key • Resources)
Preceded by
First
Problem 		Followed by
Problem 2
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. AMC Logo.png

Solution

\begin{align*} 1,000,000,000,000-777,777,777,777 &= 999,999,999,999-777,777,777,777+1 \\ &= 222,222,222,222+1 \\ &= 222,222,222,223 \rightarrow \boxed{\text{B}}. \end{align*}

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