let the two integers be x and y x-3= 2y x=2y+3______(1)
x²+y²= 233_____(2) sub eqn (1) into (2) {2y+3}²+y²=233 4y² + 12y +9 +y²=233 5y²+12y+9-233=0 5y²+12y-224=0 y= -8 or 5.6 recall they are positive integers so y=5.6 now sub y=5.6 into eqn (1) x=2(5.6)+3 = 11.2+3=14.2