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Appreciate it if somebody can help me in solving the above DS problem. An explanation will also be appreciated.
Thanks
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IMO C.
\(a^4 - b^4 = (a^2 - b^2)*(a^2 + b^2)\)
1. \(a^2-b^2 = 16\). Clearly insufficient as we do not know the value of \(a^2+b^2\). 2. \(a+b = 8\). Again insufficient as it does not provide any information about value of \(a-b\).
Together 1 and 2 are sufficient. How??? \(a^2-b^2 = 16\) \((a-b)*(a+b) = 16\) \(a-b = 2\) As we know that \(a+b = 8\). Now we can find the value of \(a & b\).
Thus answer is C.
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