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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