Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To solve the problem of finding Jeremy and Ervin's current ages, we can follow these steps:
### Understanding the Problem
1. Set Variables:
- Let [tex]\( E \)[/tex] represent Ervin's current age.
- Since Jeremy is 3 years older than Ervin, Jeremy's current age will be [tex]\( E + 3 \)[/tex].
2. Future Ages:
- In seven years, Ervin's age will be [tex]\( E + 7 \)[/tex].
- In seven years, Jeremy's age will be [tex]\( (E + 3) + 7 = E + 10 \)[/tex].
3. Sum of Future Ages:
- The sum of their ages in seven years is given to be 39.
- Form an equation based on this information: [tex]\( (E + 7) + (E + 10) = 39 \)[/tex].
### Solve the Equation
4. Simplify the Equation:
- Combine like terms: [tex]\( E + 7 + E + 10 = 39 \)[/tex]
- This simplifies to: [tex]\( 2E + 17 = 39 \)[/tex]
5. Isolate the Variable [tex]\( E \)[/tex]:
- Subtract 17 from both sides of the equation: [tex]\( 2E = 39 - 17 \)[/tex]
- Simplifying gives: [tex]\( 2E = 22 \)[/tex]
6. Solve for [tex]\( E \)[/tex]:
- Divide both sides by 2: [tex]\( E = \frac{22}{2} \)[/tex]
- This simplifies to: [tex]\( E = 11 \)[/tex]
### Determine Their Present Ages
7. Find Jeremy's Age:
- Substitute the value of [tex]\( E \)[/tex] back to find Jeremy's age: Jeremy's age = [tex]\( E + 3 = 11 + 3 \)[/tex]
### Final Answer
- Ervin's current age is [tex]\( 11 \)[/tex] years old.
- Jeremy's current age is [tex]\( 14 \)[/tex] years old.
### Understanding the Problem
1. Set Variables:
- Let [tex]\( E \)[/tex] represent Ervin's current age.
- Since Jeremy is 3 years older than Ervin, Jeremy's current age will be [tex]\( E + 3 \)[/tex].
2. Future Ages:
- In seven years, Ervin's age will be [tex]\( E + 7 \)[/tex].
- In seven years, Jeremy's age will be [tex]\( (E + 3) + 7 = E + 10 \)[/tex].
3. Sum of Future Ages:
- The sum of their ages in seven years is given to be 39.
- Form an equation based on this information: [tex]\( (E + 7) + (E + 10) = 39 \)[/tex].
### Solve the Equation
4. Simplify the Equation:
- Combine like terms: [tex]\( E + 7 + E + 10 = 39 \)[/tex]
- This simplifies to: [tex]\( 2E + 17 = 39 \)[/tex]
5. Isolate the Variable [tex]\( E \)[/tex]:
- Subtract 17 from both sides of the equation: [tex]\( 2E = 39 - 17 \)[/tex]
- Simplifying gives: [tex]\( 2E = 22 \)[/tex]
6. Solve for [tex]\( E \)[/tex]:
- Divide both sides by 2: [tex]\( E = \frac{22}{2} \)[/tex]
- This simplifies to: [tex]\( E = 11 \)[/tex]
### Determine Their Present Ages
7. Find Jeremy's Age:
- Substitute the value of [tex]\( E \)[/tex] back to find Jeremy's age: Jeremy's age = [tex]\( E + 3 = 11 + 3 \)[/tex]
### Final Answer
- Ervin's current age is [tex]\( 11 \)[/tex] years old.
- Jeremy's current age is [tex]\( 14 \)[/tex] years old.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.