MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1987 AMC 12/AHSME
7
7
Part of
1987 AMC 12/AHSME
Problems
(1)
1987 AMC 12 #7 - Comparing Quantities
Source:
12/31/2011
If
a
−
1
=
b
+
2
=
c
−
3
=
d
+
4
a-1=b+2=c-3=d+4
a
−
1
=
b
+
2
=
c
−
3
=
d
+
4
, which of the four quantities
a
,
b
,
c
,
d
a,b,c,d
a
,
b
,
c
,
d
is the largest?
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
a
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
b
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
c
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
d
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
no one is always largest
<span class='latex-bold'>(A)</span>\ a \qquad<span class='latex-bold'>(B)</span>\ b \qquad<span class='latex-bold'>(C)</span>\ c \qquad<span class='latex-bold'>(D)</span>\ d \qquad<span class='latex-bold'>(E)</span>\ \text{no one is always largest}
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
a
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
b
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
c
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
d
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
no one is always largest
AMC