Let the larger number be w and the smaller number be k; 5w-11=3k 3k+16=4w Reorganizing the equations; 5w-3k=11 4w-3k=16 Subtracting equation 2 from equation 1: w=-5 Replacing value of w in equation 1; 5(-5)-11=3k -25-11=3k 3k=-36 k=-12 The numbers are -5 and -12