MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1955 AMC 12/AHSME
37
37
Part of
1955 AMC 12/AHSME
Problems
(1)
Digits of Number
Source:
2/11/2009
A three-digit number has, from left to right, the digits
h
h
h
,
t
t
t
, and
u
u
u
, with
h
>
u
h>u
h
>
u
. When the number with the digits reversed is subtracted from the original number, the units' digit in the difference of
r
r
r
. The next two digits, from right to left, are:
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
5 and 9
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
9 and 5
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
impossible to tell
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
5 and 4
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
4 and 5
<span class='latex-bold'>(A)</span>\ \text{5 and 9} \qquad <span class='latex-bold'>(B)</span>\ \text{9 and 5} \qquad <span class='latex-bold'>(C)</span>\ \text{impossible to tell} \qquad <span class='latex-bold'>(D)</span>\ \text{5 and 4} \qquad <span class='latex-bold'>(E)</span>\ \text{4 and 5}
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
5 and 9
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
9 and 5
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
impossible to tell
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
5 and 4
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
4 and 5