If x - y - 2 - 5 - then find 3x - 5y 6 - 5-6 - 25-2 - 3-12 - 20-

The correct option is B 6 : 25 Given that x : y = 2 : 5 ∴ x/y = 2/5 ............. equation (1) Since we need to find 3x : 5y = 3x/5y Multiplying both sides of ...

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Byju's Answer

Standard IX

Mathematics

Properties of Ratios

If x : y = 2 ...

Question

If x : y = 2 : 5 , then find 3x : 5y

6 : 5

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6 : 25

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2 : 3

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12 : 20

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Solution

The correct option is B
6 : 25

Given that x : y = 2 : 5

$∴$ $\frac{x}{y}$ = $\frac{2}{5}$ ............. equation (1)

Since we need to find 3x : 5y = $\frac{3 x}{5 y}$

Multiplying both sides of equation (1) by $\frac{3}{5}$ , we have

$\frac{3}{5}$ $\times$ $\frac{x}{y}$ = $\frac{3}{5}$ $\times$ $\frac{2}{5}$

$\frac{3}{5}$ = $\frac{6}{25}$

Hence $3 x : 5 y$ = $6 : 25$

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Similar questions

Q. If

x = \sqrt{6} + \sqrt{5}

, then

x^{2} + \frac{1}{x^{2}} - 2 =

(a)

2 \sqrt{6}

(b)

2 \sqrt{5}

Find each of the following products :

(i) $\frac{3}{5} \times \frac{- 7}{8}$ (ii) $\frac{- 9}{2} \times \frac{5}{4}$ (iii) $\frac{- 6}{11} \times \frac{- 5}{3}$

(iv) $\frac{- 2}{3} \times \frac{6}{7}$ (v) $\frac{- 12}{5} \times \frac{10}{- 3}$ (vi) $\frac{25}{- 9} \times \frac{3}{- 10}$

(vii) $\frac{5}{- 18} \times \frac{- 9}{20}$ (viii) $\frac{- 13}{15} \times \frac{- 25}{26}$ (ix) $\frac{16}{- 21} \times \frac{14}{5}$

(x) $\frac{- 7}{6} \times 24$ (xi) $\frac{7}{24} \times (- 48)$ (xii) $\frac{- 13}{5} \times (- 10)$

Q. If x : y = 2 : 5 , then find 3x : 5y

Q. If

9 x^{2} + 25 y^{2} = 181

and

x y = - 6

, find the value of

3 x + 5 y

Q. If x : y = 2 : 5 , then find 3x : 5y [2 Marks]

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If x : y = 2 : 5 , then find 3x : 5y

The correct option is B 6 : 25 Given that x : y = 2 : 5 ∴ xy = 25 ............. equation (1) Since we need to find 3x : 5y = 3x5y Multiplying both sides of equation (1) by 35 , we have 35 × xy = 35 × 25 35 = 625 Hence 3x:5y = 6:25