Andrea is triple the age of Eliza. Suzie is 4 years older than Eliza. The combined ages of all three rls equal to 74. Find the ages of all three girls.

Answer:

Step-by-step explanation:

Let's start by defining some variables to represent the ages of the three girls:

Let A be Andrea's age

Let E be Eliza's age

Let S be Suzie's age

From the problem statement, we know that:

A = 3E (since Andrea is triple the age of Eliza)

S = E + 4 (since Suzie is 4 years older than Eliza)

A + E + S = 74 (since the combined ages of all three girls equal 74)

We can use the first two equations to substitute for A and S in the third equation:

3E + E + 4 + E = 74

Simplifying this equation, we get:

5E + 4 = 74

Subtracting 4 from both sides, we get:

5E = 70

Dividing both sides by 5, we get:

E = 14

Now that we know Eliza's age, we can use the first two equations to find the ages of Andrea and Suzie:

A = 3E = 3(14) = 42

S = E + 4 = 14 + 4 = 18

Therefore, 

Andrea is 42 years old, 

Eliza is 14 years old, 

and Suzie is 18 years old.