I need help please

Question

Raheem has a party rains submarine sandwich of 48 inches he wants to cut it into three pieces so that the large piece is 5 inches longer than the middle piece and the shortest piece is 8 inches shorter than the middle piece how long should each piece of sandwich be

Answer 1

L+M+S = 48

L=M+5

S =M-8

M+5 +M +M-8 = 48

3M -3 = 48

M-1 = 16

M = 17 inches for the Middle piece

L =22 inches for the Large piece

S = 9 inches for the Shorter piece