# Math

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If A, B, and C stand for different digits, and BA+AC=BCA, what digits do A, B, and C represent?

• Math -

A(B+c) = ABC
divide by A
B+C = BC
the only 2 number whose sum equals their product are 2 and 2
so B=2, C=2, A can be any other number
e.g.
A = 7 , B=2, C=2
AB + AC = 14 + 14 = 28
ABC = 7(2)(2) = 28

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