Question

The sum of two numbers, one of which is $\frac{2}{3}$ times the other, is 50. Find two numbers.

• A. 10 and 40
• B. 5 and 45
• C. 21 and 29
• D. 30 and 20

Answer 1

The correct option is D 30 and 20

Let one of the number = x
According to question; other number = $\frac{2}{3}x$
Now, it is given that
$x+\frac{2}{3}x=50\Rightarrow \frac{5}{3}x=50$
$\Rightarrow x=\frac{50\times 3}{5}=30$
$\therefore$ one number is 30
Other number $=30\times \frac{2}{3}=20$