4x(ABCD)=DCBA what is ABCD ?
2 Answers
Explanation:
If
Given:
#4ABCD = DCBA#

#A# is#1# or#2# , since otherwise#4ABCD# would run to#5# digits. 
#A# is even since it's the last digit of#4ABCD# , so that means it must be#2# . 
#D >= 8# and hence#D=8# or#9# . 
Since the last digit of
#4D# is#A# , we can deduce that#D=8# . 
So there are no carries into the
#1000# 's and there is a carry of#3# into the#10# 's. So#4BC+3 = CB# 
Hence
#B# is odd and#1# or#2# , so must be#1# . 
Then the last digit of
#4BC+3# is#1# , so the last digit of#4BC# is#8# and#C=2# or#C=7# . Hence#C=7#
If
Explanation:
(only nonzero combination that I was able to find)
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