Wednesday 10 December 2014

Sum of the Reciprocals



         The sum of two numbers is ten. Their product is twenty. Can you find the sum of the reciprocals of the two numbers? 

 Answer:    ½. this problem can be worked by simultaneous equations, but the solution shown below is a cleverer, more intuitive approach.

⅟ₐ + ⅟b = a+b/ab = 10/20   = ½

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