On dividing $200 between a and b such that twice of a's share is less than 3 times than b's share by $20

Share of A is $116 and Share of B is $84.

Step-by-step explanation:

Let the share of A be

Let the share of B be

Given:

$200 is shared between A and B

So,

Also given;

twice of A's share is less than 3 times than B's share by $20

Solution:

Now multiplying equation 1 by 3 we get,

Now Adding equation 2 and equation 3 we get

Now Substituting the value of x in equation 1 we get,

Hence, Share of A is $116 and Share of B is $84.

correct answer:

b.(19,-2)