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

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\text{(D)}\ 322,222,222,223 \qquad  
 
\text{(D)}\ 322,222,222,223 \qquad  
 
\text{(E)}\ 333,333,333,333</math>
 
\text{(E)}\ 333,333,333,333</math>
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==See Also==
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{{AJHSME box|year=1991|before=First<br />Problem|num-a=2}}
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[[Category:Introductory Algebra Problems]]
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{{MAA Notice}}
  
 
==Solution==
 
==Solution==
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&= 222,222,222,223 \rightarrow \boxed{\text{B}}.
 
&= 222,222,222,223 \rightarrow \boxed{\text{B}}.
 
\end{align*}</cmath>
 
\end{align*}</cmath>
 
==See Also==
 
 
{{AJHSME box|year=1991|before=First<br />Problem|num-a=2}}
 
[[Category:Introductory Algebra Problems]]
 
{{MAA Notice}}
 

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 (ProblemsAnswer KeyResources)
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*}