Answer:
Share of A is $116 and Share of B is $84.
Step-by-step explanation:
Let the share of A be [tex]x[/tex]
Let the share of B be [tex]y[/tex]
Given:
$200 is shared between A and B
So, [tex]x+y =\$200\ \ \ \ equation \ 1[/tex]
Also given;
twice of A's share is less than 3 times than B's share by $20
[tex]2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2[/tex]
Solution:
Now multiplying equation 1 by 3 we get,
[tex]3x+3y=600 \ \ \ \ equation \ 3[/tex]
Now Adding equation 2 and equation 3 we get
[tex](2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116[/tex]
Now Substituting the value of x in equation 1 we get,
[tex]x+y=200\\116+y=200\\y=200-116 = \$84[/tex]
Hence, Share of A is $116 and Share of B is $84.
