Question

Genius and brainliest can only answer this. Still no body can't.

Answer 1

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$\underline{SOLUTION}$ ➡

$\underline{Let ,}\\ \\ Number \: \: of \: \: doctors \: = x \\ \\ Number \: \: of \: \: lawyers \: = y$

$\underline{According \: \: to \: \: question , }\\ \\ \frac{ Sum \: \: of \: \: x \: \: no. \: \: of \: \: doctors }{x} = 35 \\ \\ = > Sum \: \: of \: \: x \: \: no. \: \: of \: \: doctors = 35x \: - - - > (1)$

$And, \\ \\ \frac{Sum \: \: of \: \: y\: \: no. \: \: of \: \: lawyers }{y} = 50 \\ \\ = > Sum \: \: of \: \: y\: \: no. \: \: of \: \: lawyers = 50y \: - - - > (2)$

$So ,\\ \\ \frac{(Sum \: \: of \: \: x \: \: no. \: \: of \: \: doctors ) + (Sum \: \: of \: \: y\: \: no. \: \: of \: \: lawyers )}{x + y} = 40 \\ \\ = > \frac{35x + 50y}{ x+ y} = 40 \: \: \: \: \: \: \: \: \: \: \: (from \: \:(1) \: \: and \: \: (2))\\ \\ = > 35x + 50y = 40(x + y) \\ \\ = > 35x + 50y = 40x - 40y \\ \\ = > 50y - 40y = 40x - 35x \\ \\ = > 10y = 5x \\ \\ = > \frac{y}{x} = \frac{5}{10} \\ \\ = > \frac{y}{x} = \frac{1}{2} \\ \\ = > \frac{x}{y} = \frac{2}{1} \\ \\ = > x : y = 2 : 1$

$Hence ,\: \: the \: \: ratio \: \: of \: \: the \: \: number \: \: of \: \: doctors \: \: \\ to \: \: the \: \: number \: \: of \: \: lawyers \: \: is \: \: 2 : 1 \\ \\ i.e \\ \\ Number \: \: of \: \: doctors : Number \: \: of \: \: lawyers = 2: 1$

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