# New Scientist Enigma 579 – The Great Divide

*by Susan Denham*

#### From Issue #1732, 1st September 1990

In the two division sums below, the six-figure dividend is the same but the divisor and the answer have been interchanged (that is, the first is x ÷ y = z and the second is x ÷ z = y). No digit occurs in both the divisor and the answer, and no digit in the dividend is used in either the divisor or the answer.

What is the dividend?

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Hi Brian,

Why do you assume that the right hand divisor JKL is greater than the left hand divisor GHI?

Faulty analysis that turned out to be lucky!