Question

Divide 120 in two parts such that 2/3of one part is equal to 2/5 of the other part

Answer 1

Given,

120 is divided into two parts.

Let the two parts be x and y.
And,

x+y = 120
x = 120-y

Now, according to the given condition,

2/3 x = 2/5 y

Or 2/3 (120-y) = 2/5 y

Or 10(120-y) = 6y

Or 1200 - 10y = 6y

Or 16y = 1200

Or y = 75

Thus,

x = 120-y = 120-75 = 45

Thus, the two parts are 45 and 75.

Answer 2

let one be x
anothe 120-x
2x/3=2/5*120-x=240-2x/5
10x=720-6x
16x=720
x=45
another is 75