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The numbers \(a, b,\) and \(c\) are all positive. If \(b^2 - c^2 = 17,\) then what is the value of \(a^2 - c^2?\)

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The numbers \(a, b,\) and \(c\) are all positive. If \(b^2 - c^2 = 17,\) then what is the value of \(a^2 - c^2?\)

by Gmat_mission » Sun Oct 25, 2020 6:59 am

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The numbers \(a, b,\) and \(c\) are all positive. If \(b^2 - c^2 = 17,\) then what is the value of \(a^2 - c^2?\)

(1) \(a - b = 3\)
(2) \(\dfrac{a + b}{a - b}= 7\)

Answer: C

Source: Magoosh
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