The difference between Molly and Chase's age is 35. if Molly is 3 times Chase's age plus an additional 10 years,how old are they?

x = Chase's age

3x + 10 = Molly's age

(3x + 10) - x = 35

Solve for x.

Let's consider x = C's age

=> M's age = 3x + 10

therefore, (3x + 10)- x = 35

=> 3x + 10 = 35 + x
=> 2x = 35 -10
=> x = 25/2

=> Molly's age = 12 ½

Now, calculate Chase's age.

To find the ages of Molly and Chase, we can set up a system of equations based on the information given.

Let's assume Chase's age is x years. According to the given information, Molly's age is 3x + 10 years.

The difference between their ages is 35, so we can write the equation:

Molly's age - Chase's age = 35

Substituting the expressions for their ages:

(3x + 10) - x = 35

Simplifying the equation:

2x + 10 = 35
2x = 35 - 10
2x = 25
x = 25/2
x = 12.5

Chase's age is 12.5 years.

Substituting the value of x back into the equation to find Molly's age:

Molly's age = 3x + 10
Molly's age = 3(12.5) + 10
Molly's age = 37.5 + 10
Molly's age = 47.5

Molly is 47.5 years old and Chase is 12.5 years old.