Question

If x / 5 = y / 3 then 3x + 5y / _____ fill in the blank by choosing correct answer

1) 0
2) 15
3) 30
4) -30​

Answer 1

Step-by-step explanation:

3x - 5y = 0

and 3x+5y= 6x = 10y

Answer 2

The answer is option(3) 30.

Step-by-step explanation:

Let the no. which makes the ratios equal be u.

In the given question we need to find the value of u if

x/5 = y/3 = 3x+5y/u --------(1)

Let both the ratios be equal to a constant W i.e.

x/5 = y/3 = 3x+5y/u = W such that

x/5=W-----(2a)

y/3=W------(2b)

3x+5y=uW----(2c)

⇒x=5W, y=3W, 3x+5y=uW

Putting the values of x and y in 3x+5y, we have

⇒(3x+5y)= (3*(5W)+ 5*(3W))= u*W

⇒15W+15W=u*W

⇒30W=u*W

⇒u=30

Hence the answer is option (3) 30.

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