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.