x varies directly as the product of u and v and... - JAMB Mathematics 2003 Question
x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?
A
3
B
4
C
6
D
9
correct option: c
\(x\infty\frac{UV}{U+V}\x = \frac{KUV}{U+V}\K = \frac{x(U+V)}{UV}\\frac{3(3+1)}{3\times1}\\frac{3\times4}{3}\K = 4\x=\frac{4UV}{U+V}\x=\frac{4\times 3\times3}{3+3}\x=\frac{36}{6}\x=6\)
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