Divide 34 in to two parts in such a way that `(4/7)(th) ` of one part is equal to `(2/5)th` of the other.

Explanation

First part `=x` and `2nd` part `=34-x`
According to question
`(4x)/7 = (34 - x )(2/5)`
`(4x)/(7) +( 2x)/(5) =( 34 xx2)/5`
`(34x)/(35) = 68/5`
`34x xx5=68xx35`
`170x=2380`
`x=(2380)/(170)`
`x=14`