Question

If x and y vary directly and x1 = 4, yı = 10, x2 = 2, then the value of y2 is
(a) 20
(b) 25
(c) 10
(d) 5​

Answer 1

Answer:

x1/x2= y1/y2 so the answer of this question is 5

Answer 2

Given:

We have given two variable x and y varies directly.

To Find:

We have to find the value of  $y_2$?

Step by Step Explanation:

• We have given that two variable varies directly which means if we increase the value of one quantity and it will result into an increase in other quantity too.
• In other words, when two quantity varies directly like and y then we write it as the ratio of them remain constant.
• Now we are given some value that are

       $x_1=4,x_2=2,y_1=10$

• Since we know x and y vary directly then we write the relation as.

        $\frac{x_1}{y_1} =\frac{x_2}{y_2}$

• Now we put the values of quantity which are given to us.

       $\Rightarrow \frac{4}{10} =\frac{2}{y_2}$

• Now cross multiply the above equation and simplify the equation.

        $4\times y_2=10\times2\\4y_2=20$

• Now take the 4 to right hand side and simplify it.

        $y_2=\frac{20}{4} =5$

Hence the value of $y_2$ is 5.