Question 905770
m = number of mango trees.
s = number of star apple trees.


m + s = 209


if he had 23 more mangoes and 18 fewer star apple trees, the number of mango trees would be equal to the number of start apple trees.


m + 23 = s - 18


solve for m to get:


m = s - 41


replace m with s - 41 in the equation of m + s = 209 to get s - 41 + s = 209


combine like terms to gert 2s - 41 = 209


add 41 to both sides of this equation to get 2s = 250


divide both sides of this equation by 2 to get s = 125


in the equation of m + s = 209, replace s with 125 to get:


m + 125 = 209


subtract 125 from both sides of this equation to get:


m = 209 - 125 which becomes m = 84


your solution is that m = 84 and s = 125


add 23 to 84 and you get m + 23 = 107


subtract 18 from 125 and you get s = 107


everything check out so your solution is:


number of mango trees is 84.
number of star apple trees is 125.