Question

If we divide 300 in two parts such that half of the first part and one third of the second part are equal, then find both the parts.​

Answer 1

Answer:

120 and 180

Explanation:

Let the first part be X

And the second part will be 300 - X

according to the condition,

half of the first part and one third of the second part are equal

1/2 × X = 1/3 × (300-X)

1/2 × 3/1 = (300-X)/X

3/2 = (300-X)/X

(using cross multiplying method)

3X = 600 - 2X

3X + 2X = 600

5X = 600

X = 600/5

X = 120

So,

the first part will be 120

and the second part will be 300 - 120 = 180

Hope it's helpful for you!

Answer 2

Step-by-step explanation:

let the part be x

So,

x/2=1/3(300-x)

x/2=100 - x/3

3x/6+2x/6=100

5x=600

x=120

therefore the first number is 120

the second number is 300 - 120 = 180

120/2= 60

180/3=60