Pregunta
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Jake and his brother have a combined age of 30 years. If Jake is twice as old as his
( 2 mark)
brother, how old is each of them?

Ask by Schofield Bowman. in Australia
Mar 14,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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Jake is 20 years old, and his brother is 10 years old.

Solución

Let’s denote Jake’s age as and his brother’s age as .
Given:
  1. Jake and his brother have a combined age of 30 years:
  2. Jake is twice as old as his brother:
We can solve these equations to find the ages of Jake and his brother.
Solve the system of equations by following steps:
  • step0: Solve using the substitution method:
  • step1: Substitute the value of
  • step2: Simplify:
  • step3: Divide both sides:
  • step4: Divide the numbers:
  • step5: Substitute the value of
  • step6: Calculate:
  • step7: Calculate:
  • step8: Check the solution:
  • step9: Rewrite:

    The solution to the system of equations is:
    and
Therefore, Jake is 20 years old, and his brother is 10 years old.

Respondido por UpStudy AI y revisado por un tutor profesional

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Mind Expander

Let’s break it down! If we say Jake’s age is J and his brother’s age is B, we know two things from your question: J + B = 30 and J = 2B. If we substitute the second equation into the first, we get 2B + B = 30. This simplifies to 3B = 30, so B (the brother’s age) is 10 years old. That makes Jake 2B, or 20 years old!
So, Jake is 20 years old, and his brother is 10 years old. Easy as pie!

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