## Incomplete Fractions

#### Problem

In the equation,

2 * | * 5 | = | 1 15 |

The * symbol stands for the same whole number value. Find its value.

#### Solution

By trial,

2 3 | 3 5 | = | 10 15 | 9 15 | = | 1 15 |

Is there a more efficient way to solve this problem?

What about | * 9 | 7 * | = | 1 72 | ? |

Problem ID: 26 (Dec 2000) Difficulty: 1 Star