Question

X and Y are inversly proportional.
X2025bY5a10
Value of a + b =

• A. 16
• B. 12
• C. 14
• D. 18

Answer 1

The correct option is C 14

$X\alpha \frac{1}{Y}$

We know that, if two quantities X and Y are inversely proportional, then the product of the two quantities is constant.

XY = Constant

$\begin{array}{cccc}X& 20& 25& b\\ Y& 5& a& 10\end{array}$

$20\times 5=25\times a=b\times 10$

$20\times 5=25\times a$

$a=\frac{20\times 5}{25}$

$a=4$

Similarly we can find out the value of b and value of b is 10.

a + b = 4 + 10 = 14