Question

The sum of two numbers is $2490$. If $6.5\%$ of one number is equal to $8.5\%$ of the other, the numbers are.

• A. $1411$ and $1079$
• B. $1412$ and $1080$
• C. $1141$ and $1709$
• D. $1214$ and $1800$

Answer 1

The correct option is A $1411$ and $1079$

Let two numbers be x and y
According to the question, $\frac{6.5}{100}x=\frac{8.5}{100}y$
$x=\frac{17y}{13}$
$x+y=2490$
$\frac{17y}{13}+y=2490$
$\frac{30y}{13}=2490$
$y=83\times 13=1079$
$x=2490-1079=1411$
$x=1411,y=1079$.