Question

The sum of two numbers is 80. If three times of one number is equal to five times of the other number, then the numbers are

• A. 20, 60
• B. 50, 30
• C. 10, 70
• D. 25, 55

Answer 1

Answer: (B)

50, 30

$x+y=80$ ........(i)
and $3x=5y\Rightarrow x=\frac{5y}{3}$
Putting the value of x in (i)
$\frac{5y}{3}+y=80$
$8y=3\times 80$
$y=30$
$x=\frac{5\times 30}{3}=50$.