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27-01-2017
Mathematics

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The product of a man's age 6 years ago and his age 10 years hence is 960. Find his age now.

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LammettHash LammettHash

27-01-2017

Let his current age be [tex]x[/tex]. Then

[tex](x-6)(x+1)=960\implies x=\dfrac52\pm\dfrac{\sqrt{3889}}2[/tex]

only one of which is positive,

[tex]x=\dfrac52+\dfrac{\sqrt{3889}}2\approx33.68[/tex]

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