Question

the sum of the ages of daryl and her daughter christy is 59 daryl age is 5 more than twice his daughters age what are their ages

Answer 1

By setting up a system of algebraic equations, we can find that Christy is 18 years old and Daryl is 41 years old.

Step-by-step explanation:

The question is asking us to determine the ages of Daryl and his daughter Christy based on the information given. We can set up a system of equations to solve for both of their ages. Let's denote the age of Christy as c and the age of Daryl as d.

We are given two pieces of information:

1. The sum of Daryl's and Christy's ages is 59 (d + c = 59).
2. Daryl's age is 5 more than twice Christy's age (d = 2c + 5).

Now we can substitute the second equation into the first one:

• 2c + 5 + c = 59
• 3c + 5 = 59
• 3c = 54
• c = 18

Christy is 18 years old. Now, we'll use Christy's age to find Daryl's age:

• d = 2(18) + 5
• d = 36 + 5
• d = 41

Daryl is 41 years old. We have now used mathematical equations to find that Christy is 18 years old and Daryl is 41 years old.