Question

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

Answer 1

Answer:

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Step-by-step explanation:

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

Answer 2

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

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