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Math Prize For Girls Problems
2016 Math Prize for Girls Problems
3
3
Part of
2016 Math Prize for Girls Problems
Problems
(1)
Math Prize 2016 Problem 3
Source:
9/12/2016
Compute the least possible value of
A
B
C
D
−
A
B
×
C
D
ABCD - AB \times CD
A
BC
D
−
A
B
×
C
D
, where
A
B
C
D
ABCD
A
BC
D
is a 4-digit positive integer, and
A
B
AB
A
B
and
C
D
CD
C
D
are 2-digit positive integers. (Here
A
A
A
,
B
B
B
,
C
C
C
, and
D
D
D
are digits, possibly equal. Neither
A
A
A
nor
C
C
C
can be zero.)
Math Prize for Girls