Mark had $21$ more marbles then joe then he gave joe some marbles joe had $11$ more marbles how many did mark give joe

Full solution

Q. Mark had

21

more marbles then joe then he gave joe some marbles joe had

11

more marbles how many did mark give joe

Initial Marbles Setup: Mark had $21$ more marbles than Joe initially. $\newline$ Let's call the number of marbles Joe has $J$ . $\newline$ So, Mark has $J + 21$ marbles.
Marbles Distribution to Joe: After giving some marbles to Joe, Joe now has $11$ more marbles than he started with. $\newline$ So, Joe has $J + 11$ marbles now.
Calculation of Marbles Given: The number of marbles Mark gave to Joe is the difference between what Mark had initially and what Joe has now. $\newline$ So, Mark gave $J + 21 - (J + 11)$ marbles to Joe.
Calculation of Marbles Given: The number of marbles Mark gave to Joe is the difference between what Mark had initially and what Joe has now. $\newline$ So, Mark gave $J + 21 - (J + 11)$ marbles to Joe.Let's do the math: $J + 21 - (J + 11) = J + 21 - J - 11$ . $\newline$ This simplifies to $21 - 11$ .
Calculation of Marbles Given: The number of marbles Mark gave to Joe is the difference between what Mark had initially and what Joe has now. $\newline$ So, Mark gave $J + 21 - (J + 11)$ marbles to Joe.Let's do the math: $J + 21 - (J + 11) = J + 21 - J - 11$ . $\newline$ This simplifies to $21 - 11$ .So, $21 - 11$ equals $10$ . $\newline$ Mark gave Joe $10$ marbles.