What two numbers have a sum of 217 and a difference of 85

Answer: The two numbers are 151 and 66.Step-by-step explanation:  We are to find the two numbers whose sum is 217 and difference is 85.Let, 'x' and 'y' represents the two numbers, where x > y.Then, according to the given information, we have[tex]x+y=217~~~~~~~~~~~~(i)\\\\x-y=85~~~~~~~~~~~~~(ii)[/tex]Adding equations (i) and (ii), we get[tex]x+x=217+85\\\\\Rightarrow 2x=302\\\\\Rightarrow x=\dfrac{302}{2}\\\\\Rightarrow x=151,[/tex]and from equation (i), we get[tex]y=217-x=217-151=66.[/tex]Therefore, x = 151 and y = 66.Thus, the two numbers are 151 and 66.