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Answer:

Carla is 10 times older than her son Andrei. After 20 years, Carla is 4 more than 2 times of Andrei's age. How old was Carla when Andrei was born?

Carla was 27 years old when Andrei was born.

Step-by-step explanation:

What is asked?

How old was Carla when Andrei was born?

What are given?

Let x be Andrei's age.

10x for Carla's age (10 times older than her son Andrei)

In 20 years:

Andrei's age - x+20

Carla's age - 10x+20 or 4+2(x+20)

(4 more than 2 times of Andrei's age)

We need to add 20 because these are their ages in 20 years.

What is the solution?

We are going to represent the equation as, 10x+20 = 4+2(x+20). Combine similar terms.

Andrei's current age:

10x+20 = 4+2(x+20)

10x+20 = 4+2x+40

10x+20 = 2x+44

10x-2x = 44-20

8x = 24

8x/8 = 24/8

x = 3

Andrei is 3 years old.

Carla's current age:

10x

10(3)

30

Carla is 30 years old.

Checking:

Let us check if our answers are correct.

In 20 years:

Andrei = x+20

= 3+20

= 23

Carla = 4+2(x+20)

= 4+2(3+20)

= 4+2(23)

= 4+46

= 50

Our answers are correct because 50 is four more than two times 23.

Now that we know their current ages, we can now answer the question, "How old was Carla when Andrei was born?"

Just subtract Andrei's current age from Carla' current age.

30 - 3 = 27

Final Answer:

Carla was 27 years old when Andrei was born.

For examples of age problems, visit the links.

brainly.ph/question/300535

brainly.ph/question/93745

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