Lindsay is 5 55 years younger than Mark. Seven years ago, the sum of their ages was 31 3131. Let l ll be Lindsay's age and let m mm be Mark's age. Which system of equations represents this situation?

The system of equations that represents this situation is

M - L = 55

L + M = 45

Step-by-step explanation:

Let age of Lindsay is  = L

Age of mark = M

Given that

Lindsay is  55 years younger than Mark.

⇒ L = M - 55

⇒ M - L = 55 (1)

Seven years ago, the sum of their ages was 31.

⇒ ( L - 7 ) + (M - 7) = 31

⇒ L + M = 45 (2)

Therefore the system of equations that represents this situation is

M - L = 55

L + M = 45