Question

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

Answer 1

Let two numbers be $a,b$

$a+b=2490$

$\frac{6.5}{100}a=\frac{8.5}{100}b$

$65a=85b$

$13a=17b$

$a=\frac{17b}{3}$

$\frac{17b}{13}+b=2490$

$\frac{30b}{13}=2490$

$b=1079$

$a=2490-b$

$=1411$