Question

In the given two proportions, x : 2 :: 2 : 1 and y : 3 :: 2 : 3, which of the following statements is/are true ?

• A. x = 4
• B. y = 1
• C. x - y = 3
• D. x + y = 6

Answer 1

Answer: (A), (D)

The correct options are
A x = 4
D x + y = 6

When two ratios are in proportion, they are equal
$\Rightarrow$ $\frac{x}{2}=\frac{2}{1}$ and $\frac{y}{3}=\frac{2}{3}$

$\frac{x}{2}=\frac{2}{1}$
$\Rightarrow$ $x=4$

Also,
$\frac{y}{3}=\frac{2}{3}$
$\Rightarrow$ $3y=6$
$\Rightarrow$ $y=2$

$\therefore$ $x+y=4+2=6$
$x-y=4-2=2$

Thus, (a) and (d) are the required answers.