• # question_answer Sum of two numbers is 64 and their difference is 22. Find the numbers. A)  42, 22            B)  43. 21C)  40, 24        D)         50, 28

Let the two numbers be x and y. Then,   $x+y=64$               ??(1) Also,     $x-y=22$              ?...(2) or         $y-x=22$               ?.(3) (I) If $x-y=22,$from (1) and (2), we have $2x=86$ $\Rightarrow$  x = 43 and y = 21 (ii) If $y-x=22,$from (1) and (3), we have $2y=86\,\,\,\Rightarrow \,\,y=43$and $x=21$ $\therefore$  Numbers are 43 and 21.