Mary is twice as old as her nephew. The sum of their ages is108. Write system of equations that could be used to find there ages.

Mary's nephew is X years old.

Mary is 2X years old.

x + 2x = 108 Years.

To write a system of equations that could be used to find the ages of Mary and her nephew, we need to let:

- Let's represent the age of Mary as "M"
- Let's represent the age of her nephew as "N"

Given that Mary is twice as old as her nephew, we can write the equation:
M = 2N

The sum of their ages is 108, so we can write the equation:
M + N = 108

Thus, the system of equations is:
M = 2N
M + N = 108

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