Difference between revisions of "1987 AHSME Problems/Problem 7"
(Created page with "==Problem== If <math>a-1=b+2=c-3=d+4</math>, which of the four quantities <math>a,b,c,d</math> is the largest? <math>\textbf{(A)}\ a \qquad \textbf{(B)}\ b \qquad \textbf{(C)}...") |
(Added a solution with explanation) |
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\textbf{(E)}\ \text{no one is always largest}</math> | \textbf{(E)}\ \text{no one is always largest}</math> | ||
| + | == Solution == | ||
| + | |||
| + | We have <math>a = a</math>, <math>b = a - 3</math>, <math>c = a + 2</math>, and <math>d = a - 5</math>, so now as <math>2 > 0 > -3 > -5</math>, <math>c</math> is always largest. Hence the answer is <math>\boxed{\text{C}}</math>. | ||
== See also == | == See also == | ||
Latest revision as of 13:00, 1 March 2018
Problem
If 
, which of the four quantities 
is the largest?
Solution
We have 
, 
, 
, and 
, so now as 
, 
is always largest. Hence the answer is 
.
See also
| 1987 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
