18. Divide the share 100 between A and B such that twice of A's share

1.	18. Divide the share 100 between A and B such that twice of A's share is less than3 times of B's share by 200.
Answer» Let A’s share be x. Then B’s share will be (100 - x) According to the question -: Twice of A’s share, that is 2x Is less than, that is (- 2x) 3 times B’s share that is 3(100 - x) Is 200. Now, let us write the equation as per the question. We know all the terms, right? Let us put them together. 3(100 - x) - 2x = 200 Now we know the equation, let us solve it. On solving the bracket, we will get - : 300 - 3x - 2x = 200 300 - 5x = 200 -5x = 200 - 300 -5x = - 100 Now, (-) and (-) gets cancelled, we get - : x = 20 That is A’s share was 20 and that of B’s was 80

18. Divide the share 100 between A and B such that twice of A's share is less than3 times of B's share by 200.

Answer»

Let A’s share be x.

Then B’s share will be (100 - x)

According to the question -:

Twice of A’s share, that is 2x

Is less than, that is (- 2x)

3 times B’s share that is 3(100 - x)

Is 200.

Now, let us write the equation as per the question. We know all the terms, right? Let us put them together.

3(100 - x) - 2x = 200

Now we know the equation, let us solve it. On solving the bracket, we will get - :

300 - 3x - 2x = 200

300 - 5x = 200

-5x = 200 - 300

-5x = - 100

Now, (-) and (-) gets cancelled, we get - :

x = 20

That is A’s share was 20 and that of B’s was 80