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

(Created page with '==Problem== <math>1,000,000,000,000-777,777,777,777=</math> <math>\text{(A)}\ 222,222,222,222 \qquad \text{(B)}\ 222,222,222,223 \qquad \text{(C)}\ 233,333,333,333 \qquad \text…')
 
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{{AJHSME box|year=1991|before=First<br />Problem|num-a=2}}
 
{{AJHSME box|year=1991|before=First<br />Problem|num-a=2}}
 
[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Algebra Problems]]
 +
{{MAA Notice}}

Revision as of 23:06, 4 July 2013

Problem

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

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

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*}

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

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