the sum of two number is 40. when 3¼ times the larger number is subtracted from 5½ times the smaller, the difference is -25. find the two numbers

Answer 1

n + m = 40 ...13 n + 13 m = 520

11/2 n - 13/4 m = -25 ... 22 n - 13 m =-100

Answer 2

Let's the be x, while the smaller be c
x+y=40
5.5y-3.25=-25
5.5y-3.25=(40-y)=-27
5.5y-130-3.25y=-27
5.5y-3.25y=-27+130
8.75y=105
y=105/8.75
y=12
c+12=40
c=40-12
c=28