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The numbers x, y, z are proportional to 2, 3, 5. The sum of x, y, z is 100. If y = px - 10, then p is equal to.

1³/₂
22
3⁵/₂
43

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \to x : y : z = 2 : 3 : 5. \\ ∴ x = (100 \times \frac{2}{10}) = 20; \\ y = (100 \times \frac{3}{10}) = 30. \\ y = p x - 10 \\ \Rightarrow 30 = 20 p - 10 \\ \Rightarrow 20 p = 40 \\ \Rightarrow p = 2. \end{aligned}

$\eqalign{ & \to x:y:z = 2:3:5. \cr & \therefore x = \left( {100 \times \frac{2}{{10}}} \right) = 20; \cr & y = \left( {100 \times \frac{3}{{10}}} \right) = 30. \cr & y = px - 10 \cr & \Rightarrow 30 = 20p - 10 \cr & \Rightarrow 20p = 40 \cr & \Rightarrow p = 2. \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \to x : y : z = 2 : 3 : 5. \\ ∴ x = (100 \times \frac{2}{10}) = 20; \\ y = (100 \times \frac{3}{10}) = 30. \\ y = p x - 10 \\ \Rightarrow 30 = 20 p - 10 \\ \Rightarrow 20 p = 40 \\ \Rightarrow p = 2. \end{aligned}

$\eqalign{ & \to x:y:z = 2:3:5. \cr & \therefore x = \left( {100 \times \frac{2}{{10}}} \right) = 20; \cr & y = \left( {100 \times \frac{3}{{10}}} \right) = 30. \cr & y = px - 10 \cr & \Rightarrow 30 = 20p - 10 \cr & \Rightarrow 20p = 40 \cr & \Rightarrow p = 2. \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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