Determine the value of 13 13 121 + 13 + 13 + 12

The fraction is 13 13 1239 = 13 13 123 13 = 13 123 = 13 4 = 52

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South African Mathematics Olympiad Second Round

South Africa algebra

Problem

Determine the value of

\frac{13 \times 13 \times 12}{1 + 13 + 13 + 12}

Solution

The fraction is

\frac{13 \times 13 \times 12}{39} = \frac{13 \times 13 \times 12}{3 \times 13} = \frac{13 \times 12}{3} = 13 \times 4 = 52

Final answer

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