Challenge:
In the figure above, A, B and C represent different digits. What is the value of A + B + C?
A- 9
B- 12
C- 14
D- 18
E- 20
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The correct answer is C.
A, B and C represent different digits. Plug in different digits for B and find the value of A. Remember that the sum of four 2-digit numbers is another 2-digit number. Therefore, the value of A cannot be more than 2. Why?
A is 1 or 2. The value of 1 for A is not possible. Because the sum of four same numbers (B) cannot be 1, 11 or 21, and 31.
A is 2. So, B can be 3 or 8.
B cannot be 8. Because 4 times 28 is 112, which is not a 2-digit number.
B is 3. Then, C is 9.
A + B + C = 2 + 3 + 9 = 14
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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