In the 10-digit number (4,ABC,239,040) A, B, and C are digits. If the number is the product of six consecutive positive multiples of 3, what is the value of A + B + C?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Please provide an explanation.
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Please provide an explanation.
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A)5
All multiples of 9 have its digits add up to a multiple of 9.
We can determine that one of the 6 numbers is a multiple of 9, because every 3rd multiple of 3, is also a multple of 9.
4 + A + B + C + 2 + 3 + 9 + 0 + 4 + 0 = 22 + A + B + C = A MULTIPLE OF 9
The nearest multiple of 9 is 27
27 - 22 = 5
The answer is A) 5
All multiples of 9 have its digits add up to a multiple of 9.
We can determine that one of the 6 numbers is a multiple of 9, because every 3rd multiple of 3, is also a multple of 9.
4 + A + B + C + 2 + 3 + 9 + 0 + 4 + 0 = 22 + A + B + C = A MULTIPLE OF 9
The nearest multiple of 9 is 27
27 - 22 = 5
The answer is A) 5