Question

divide 34 into two parts such a way that 4/7 of one part is equal to 2/5 if the other part

Answer 1

let the 2 parts be x and y.
Now, x+y = 34
x = 34 - y

ATQ,
4x/7 = 2y/5
4x × 5 = 2y × 7
20x = 14y
20(34 - y) = 14y
680 - 20y = 14y
34y = 680
y = 680/34 = 20

x = 34 - y
= 34 - 20
= 14

So answer is 20 and 14