3-digit + + 3-digit = = 4-digit

Logic Level 2

A A A + B B B 1 ? ? ? \large{\begin{array}{ccccc} && & A &A&A\\ +& & & B&B&B\\ \hline &&1&?&?&?\\ \end {array}}

A , A, and B , B, are two positive integers ,such that 1 ≤ A < B ≤ 9 1\leq A<B\leq9

(Each "question mark" individually may be any value; they do not have to be the same or different.)

which of the choices , cannot be equal to A × B . A\times B. ?

21 21 16 16 30 30 10 10

ابراهيم فقرا by ابراهيم فقرا , 23, Israel

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1 solution

The only two possible 1 1 -digit integers satisfy A × B = 10 A\times B=10 are A = 2 , B = 5 A=2,B=5 , but in this case , A A A + B B B = 222 + 555 = 777. AAA+BBB=222+555=777.

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