How Old is My Age? Solving an Introductory Question with Variables

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SUMMARY

The discussion revolves around solving a mathematical age problem involving two variables, I (the user's age) and B (the brother's age). The user initially set up two equations: 1/6(I-5) = B-5 and 2(I+3) = B+3. However, a participant pointed out that the first equation had the variables reversed. The correct approach requires careful attention to the relationships between the ages at different points in time.

PREREQUISITES
  • Basic algebraic manipulation
  • Understanding of linear equations
  • Familiarity with variable representation
  • Concept of age-related word problems
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  • Review solving linear equations with two variables
  • Practice age-related word problems
  • Learn about variable representation in algebra
  • Explore common mistakes in setting up equations
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Students learning algebra, educators teaching mathematical problem-solving, and anyone interested in improving their skills in solving age-related equations.

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5 years ago, I was one-sixth age of my brother. In three years my age doubled will match my brother's age. How old is my age.

I tried setting up with 2 variables

1/6(I-5) = B-5

2(I+3) = B+3

and solved for I then i get a fraction.

is there any better approach to this?
 
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pikapika1 said:
5 years ago, I was one-sixth age of my brother. In three years my age doubled will match my brother's age. How old is my age.

I tried setting up with 2 variables

1/6(I-5) = B-5

2(I+3) = B+3

and solved for I then i get a fraction.

is there any better approach to this?
You posted this in the wrong forum. Regardless, while your second equation is correct, you reversed your B and I in the first.
 

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