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

Explanation

Let one number be `x`.
Other number be `2490−x`
According to the given question,
`6.5%` of one number `=8.5%` of other number
`6.5%` of `x=8.5%` of `(2490-x)`
`6.5/100timesx`=`8.5/100times(2490-x)`
`13/17x=(2490-x)`
`13/17x+x=2490`
`(13x+17x)/17=2490`
`30/17x=2490`
`x=17/30times2490`
`x=1411`
One number`=1411`
Other number`=(2490-x)`
`=(2490-1411)`
`=1079`
Hence, the numbers are `1411` and `1079`.