We appreciate your visit to Select the correct answer Ed is 7 years older than Ted Ed s age is also tex frac 3 2 tex times Ted s age. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, we have two main pieces of information about Ed and Ted's ages:
1. Ed is 7 years older than Ted.
2. Ed's age is [tex]\(\frac{3}{2}\)[/tex] times Ted's age.
Let's use these facts to find their ages step by step.
1. Define Variables:
- Let [tex]\( T \)[/tex] represent Ted's age.
- Since Ed is 7 years older than Ted, Ed's age can be represented as [tex]\( T + 7 \)[/tex].
2. Set up the Equation:
- We know that Ed's age is also [tex]\(\frac{3}{2}\)[/tex] times Ted's age. So, we can write the equation:
[tex]\[
T + 7 = \frac{3}{2}T
\][/tex]
3. Solve the Equation:
- First, get all terms involving [tex]\( T \)[/tex] on one side:
[tex]\[
T + 7 = \frac{3}{2}T
\][/tex]
[tex]\[
7 = \frac{3}{2}T - T
\][/tex]
[tex]\[
7 = \frac{1}{2}T
\][/tex]
- Multiply both sides by 2 to solve for [tex]\( T \)[/tex]:
[tex]\[
14 = T
\][/tex]
This means Ted is 14 years old.
4. Find Ed's Age:
- Since Ed is 7 years older than Ted:
[tex]\[
\text{Ed's age} = T + 7 = 14 + 7 = 21
\][/tex]
Therefore, Ted is 14 years old and Ed is 21 years old. Based on the options given, the correct answer is:
B. Ted is 14 years old, and Ed is 21 years old.
1. Ed is 7 years older than Ted.
2. Ed's age is [tex]\(\frac{3}{2}\)[/tex] times Ted's age.
Let's use these facts to find their ages step by step.
1. Define Variables:
- Let [tex]\( T \)[/tex] represent Ted's age.
- Since Ed is 7 years older than Ted, Ed's age can be represented as [tex]\( T + 7 \)[/tex].
2. Set up the Equation:
- We know that Ed's age is also [tex]\(\frac{3}{2}\)[/tex] times Ted's age. So, we can write the equation:
[tex]\[
T + 7 = \frac{3}{2}T
\][/tex]
3. Solve the Equation:
- First, get all terms involving [tex]\( T \)[/tex] on one side:
[tex]\[
T + 7 = \frac{3}{2}T
\][/tex]
[tex]\[
7 = \frac{3}{2}T - T
\][/tex]
[tex]\[
7 = \frac{1}{2}T
\][/tex]
- Multiply both sides by 2 to solve for [tex]\( T \)[/tex]:
[tex]\[
14 = T
\][/tex]
This means Ted is 14 years old.
4. Find Ed's Age:
- Since Ed is 7 years older than Ted:
[tex]\[
\text{Ed's age} = T + 7 = 14 + 7 = 21
\][/tex]
Therefore, Ted is 14 years old and Ed is 21 years old. Based on the options given, the correct answer is:
B. Ted is 14 years old, and Ed is 21 years old.
Thanks for taking the time to read Select the correct answer Ed is 7 years older than Ted Ed s age is also tex frac 3 2 tex times Ted s age. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
