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Sum Equals Product

The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?

Weekly Problem 52 - 2008

Stage: 3 Short Challenge Level: Challenge Level:1

A car with $5$ tyres (four road tyres and a spare) travelled $30000 \;\text{km}$. All $5$ tyres were used equally. How many kilometres' wear did each tyre receive?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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