Maus
Algebra
Level
pending
If AB and CA is a 2 digit number, and AB X 4 = CA, find A+B+C
The answer is 14.
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(10 A + B) 4 = 10 C + A
39 A + 4 B = 10 C
With A = 2 and B = 3 as we make smallest ?8 + ?2 = ?0,
39 (2) + 4 (3) = 90 = 10 (9)
Check that 23 x 4 = 92 which is correct,
A + B = C = 2 + 3 + 9 = 14