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Chapter 1: Problem 98

Ray's age 7 years from now if he is 2 years older than Monique and Monique is a years old

Short Answer

Expert verified
Ray will be \(a + 9\) years old in 7 years.

Step by step solution

01

Identify Monique's current age

Monique's current age is given as \(a\).
02

Determine Ray's current age

Ray is 2 years older than Monique. Therefore, Ray's current age is \(a + 2\).
03

Calculate Ray's age 7 years from now

To find Ray's age 7 years from now, add 7 to Ray's current age: \((a + 2) + 7\).
04

Simplify the expression

Simplify the expression to get Ray's age 7 years from now: \(a + 2 + 7 = a + 9\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

algebraic expressions
Algebraic expressions are like mathematical phrases that can include numbers, variables (like letters), and operations (such as addition or multiplication). In this exercise, we use an algebraic expression to represent ages.

For example, Monique's age is given as the variable \(a\). This helps us easily manipulate and calculate other related values, like Ray's age. Understanding algebraic expressions allows us to convert real-world problems, like age comparisons, into mathematical language.

This makes solving the problem more straightforward and systematic.

Key points about algebraic expressions:
  • They can contain numbers, variables, and operations.
  • They help represent real-world situations mathematically.
  • Understanding them is essential for solving many types of math problems.
age calculation
Age calculation problems often involve comparing ages and figuring out future or past ages. In this exercise, we need to find Ray's age 7 years from now given certain conditions.

Here's the breakdown:
  • First, know Monique's current age, which is given as \(a\).
  • Ray is 2 years older than Monique, so his current age is \(a + 2\).
  • To find Ray's age 7 years from now, simply add 7 to his current age.
Such problems can be visualized as steps to ensure clarity. Always start with the given information, then incrementally use it to find the unknown values.
simplifying expressions
Simplifying expressions is about making a mathematical phrase as straightforward as possible. This usually involves combining like terms to reduce the expression.

In this exercise, we started with Ray鈥檚 age calculation: \((a + 2) + 7\). To simplify, you first perform the addition inside the parentheses, then add the 7.

Here are the simplifying steps:
  • Combine numbers: \((a + 2) + 7\) becomes \(a + 2 + 7\).
  • Then, add the constants: 2 + 7.
  • Resulting in \(a + 9\), which represents Ray's age 7 years from now.
Simplifying helps make the final answer clear and concise. Always combine and reduce expressions as much as possible to avoid unnecessary complexity.

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Most popular questions from this chapter

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