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?

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preety89 preety89 · Answer 1 · 2020-04-07T06:27:02+02:00

Answer:

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