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In the correctly worked addition problem above, A, B, and C are distin
[#permalink]
15 Jun 2020, 07:06
15 Jun 2020, 07:06
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ABC
In the correctly worked addition problem above, A, B, and C are distinct digits. What is the sum of A, B and C ?
A. 12
B. 15
C. 17
D. 18
E. 19
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In the correctly worked addition problem above, A, B, and C are distinct digits. What is the sum of A, B and C ?
A. 12
B. 15
C. 17
D. 18
E. 19
Are You Up For the Challenge: 700 Level Questions
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Re: In the correctly worked addition problem above, A, B, and C are distin
[#permalink]
15 Jun 2020, 12:28
15 Jun 2020, 12:28
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=> 11A+11B+11C = 100A+10B+C
=> B+10C = 89A
Nearest no. To 89 which is a multiple of 10 is 80
Therefore C = 8
=> B+80 = 89A
=> on comparing both sides
=> B = 9 & A = 1
Sum of A+B+C = 1+9+8 = 18
Answer is D
Posted from my mobile device
=> B+10C = 89A
Nearest no. To 89 which is a multiple of 10 is 80
Therefore C = 8
=> B+80 = 89A
=> on comparing both sides
=> B = 9 & A = 1
Sum of A+B+C = 1+9+8 = 18
Answer is D
Posted from my mobile device
General Discussion
In the correctly worked addition problem above, A, B, and C are distin
[#permalink]
15 Jun 2020, 07:30
15 Jun 2020, 07:30
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D 18
just put values and compare with the 3 digit number.
calculating 18, gives us 198 as total and numbers of 11+88+99 which indeed equals 198
==17==187 ===11+77+88 not equal 187
===19==209=22+00+99 not equal 209
==15===165==11+66+55 not equal 165
===12==132 ==11+22+33 is even less than 100
==18===198== 11+99+88 is exactly 198. Bingo
just put values and compare with the 3 digit number.
calculating 18, gives us 198 as total and numbers of 11+88+99 which indeed equals 198
==17==187 ===11+77+88 not equal 187
===19==209=22+00+99 not equal 209
==15===165==11+66+55 not equal 165
===12==132 ==11+22+33 is even less than 100
==18===198== 11+99+88 is exactly 198. Bingo
