Question

divide 34 into 2 parts in such a way that fourseventh of one part is equal to twofifth of the other

Answer 1

let one part be x and other be34-x

now 4/7*x=4*/7

and 2/5*34-x=68-2x/5

now these two parts are equal so

4x/7=68-2x/5

cross multiplywe get

20x=476-14x

20x+14x=476

34x=476

x=476/34

x=14

so other part =34-14=20

so parts are 14and 20