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. AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
a)1 b) 3 c) 7 d) 9 e) Cannot be determined

Read Solution (Total 4)

AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers.

simply AAA will be 111 only.
9

so A=1
when A=1,

C can have only possible value as 9 so that
1B + 9D=111
11 years agoHelpfull: Yes(14) No(1)

AB+CD = AAA, lets take A = 1 then AB + CD = 111,

if B = 9 then we cant use 9 for C and D as all are distinct numbers.

so take B=8

then AB = 18 then CD= 111-18 = 93 thus CD = 93 .

Thus, C = 9
11 years agoHelpfull: Yes(7) No(5)
AB=CD=AAA
=> 10A+B+10C+D=100A+10A+A
=>B+10C+D=101A
NOW LET A=1
SO B+10C+D=101
MAX(B+D)=9+9=18
SO C HAS TO 9
10 years agoHelpfull: Yes(1) No(0)
13+98=111
so c=9 ans
correct ans(d)
11 years agoHelpfull: Yes(0) No(3)

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