Method to use all the numbers in a string to equal other number

AI Thread Summary
The discussion focuses on finding an efficient method to combine a string of numbers (7, 9, 11, 37, 45, 45, 47, 75) using basic arithmetic operations to reach a target number of 70. Participants explore whether all numbers must be used exactly once or if some can be omitted. The challenge emphasizes the need for a systematic approach rather than random guessing. Suggestions for algorithms or mathematical techniques to streamline the process are encouraged. The conversation highlights the complexity of the problem and the interest in optimizing the solution.
ginyu
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I was recently given the challenge to take a string of numbers (ages) and + x - / to equal another number (age). As part of the challenge each number can only be used once and you must only use numbers here to do multiply, add to, subtract from or divide by.

NUMBERS
7 9 11 37 45 45 47 75
TARGET NUMBER
70

Im not looking as much for the answer, more if there is any efficent method to do this rather than guess and check
 
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Do you have to use each number once, or can I omit some of them from the solution?
 

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