Venn puzzle

Algebra Level 2

Is there a direct algebraic way of finding a pair of numbers for the center?

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Daniel Walker by Daniel Walker , 42, United Kingdom

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1 solution

Theodore Sinclair
Apr 23, 2018

Call the pair x and y. x + y = q , a b s ( x − y ) = p , x × y = r x+y=q, abs(x-y)=p, x \times y=r . x= p + q 2 \frac{p+q}{2} and y= q − p 2 \frac{q-p}{2} . r must equal q 2 − p 2 4 \frac{q^{2}-p^{2}}{4}

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