julie5924
Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Carlos is 5 less than 3 times his brother's age. Carlos' age is also 11 years older than his brother's age. How old is Carlos?​

Sagot :

theleangreenbean

Systems of Equations Word Problems

To solve these questions, we can translate key words into operations.

  • Older = add
  • Less than = subtract

Solving the Question

We're given:

  • Carlos' age is 5 less than 3 times his brother's age
  • Carlos' age is 11 years higher than his brother's age

There are two variables present in this problem: Carlos' age and his brother's age.

  • Let Carlos' age equal x
  • Let his brother's age equal y

Translate the given information into equations:

  • Carlos' age is 5 less than 3 times his brother's age
    ⇒ [tex]3y-5=x[/tex]
  • Carlos' age is 11 years higher than his brother's age
    ⇒ [tex]y+11=x[/tex]

We can solve for y, his brothers age, using substitution:

[tex]3y-5=y+11\\2y=16\\y=8[/tex]

Now, solve for x by substituting y in either of the equations:

[tex]y+11=x\\8+11=x\\x=19[/tex]

Therefore, Carlos is 19 years old.

Answer

Carlos is 19 years old.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.