Question

*If x:y=5:3 then (3x²+2y²)/2y²= ?

Answer 1

Step-by-step explanation:

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Answer 2

Given:

x:y = 5:3

To find:

(3x²+2y²) / 2y² =?

Solution:

As given, we have,

x:y = 5:3

This means,

$\frac{x}{y} = \frac{5}{3} \: (i)$

Now, we need to find the value of

$\frac{ {3x}^{2} + {2y}^{2} }{ {2y}^{2} }$

This can be written as

$\frac{ {3x}^{2} }{ {2y}^{2} } + \frac{ {2y}^{2} }{ {2y}^{2} }$

$= \frac{3}{2} ( { \frac{x}{y} )}^{2} + 1$

From (i)

x/y = 5/3

So,

on putting the value of x/y in the above, we get

$= \frac{3}{2} \times {( \frac{5}{3}) }^{2} + 1$

$= \frac{3}{2} \times \frac{25}{9} + 1$

$= \frac{25}{6} + 1$

On taking 6 as LCM, we get

$= \frac{31}{6}$

Hence, the value of (3x²+2y²) / 2y² is 31/6.