1987 AHSME Problems/Problem 7

Problem

If $a-1=b+2=c-3=d+4$ , which of the four quantities $a,b,c,d$ is the largest?

$\textbf{(A)}\ a \qquad \textbf{(B)}\ b \qquad \textbf{(C)}\ c \qquad \textbf{(D)}\ d \qquad \textbf{(E)}\ \text{no one is always largest}$

Solution

We have $a = a$ , $b = a - 3$ , $c = a + 2$ , and $d = a - 5$ , so now as $2 > 0 > -3 > -5$ , $c$ is always largest. Hence the answer is $\boxed{\text{C}}$ .

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.

Page

Toolbox

Search

1987 AHSME Problems/Problem 7

Problem

Solution

See also