Question

Lindsay is 555 years younger than Mark. Seven years ago, the sum of their ages was 313131. Let lll be Lindsay's age and let mmm be Mark's age. Which system of equations represents this situation?

Answer 1

The system of equations that represents the given situation is ( l - 7 ) + (m- 7) = 31

Explanation:

Given that Lindsay is 5 years younger than Mark.

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

Let l be Lindsay's age and let m be Mark's age.

To find the system of equations represents the given situation:

From the given Lindsay is 5 years younger than Mark.

We can write it as

l=m-5

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

It can be written as

( l - 7 ) + (m- 7) = 31

∴ the system of equations that represents the given situation is ( l - 7 ) + (m- 7) = 31