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A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E?
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A, B, C, D and E are five friends who went to a picnic. Their present ...
Given Data
- Average age of A, B, C, D, and E = 43 years.
- Total age of A, B, C, D, and E = 5 × 43 = 215 years.
Age Ratios
- Ratio of present age of D and E = 4:5.
Let D = 4x and E = 5x.
- Ratio of present ages of A and B = 4:5.
Let A = 4y and B = 5y.
Formulating Age Equations
- Total age equation:
\( A + B + C + D + E = 215 \)
\( 4y + 5y + C + 4x + 5x = 215 \)
\( 9y + C + 9x = 215 \)
\( C = 215 - 9y - 9x \)
Future Age Relationships
- In four years, the ages will be:
\( A + 4 \) and \( C + 6 \).
Ratio given:
\( \frac{A + 4}{C + 6} = \frac{4}{5} \)
Cross-multiplying yields:
\( 5(A + 4) = 4(C + 6) \)
\( 5A + 20 = 4C + 24 \)
\( 5A - 4C = 4 \)
- Also, in four years,
\( A + 4 = E - 10 \)
Simplifying gives:
\( A = E - 14 \)
Substituting and Solving
- Substitute \( E = 5x \) into \( A = E - 14 \):
\( A = 5x - 14 \).
- Substitute \( A \) back into total age equation:
\( 9y + C + 9x = 215 \) leads to a system of equations.
- Solving these will yield values for \( x \) and \( y \).
Final Calculation of Ages
- After substituting values, we find \( D \) and \( E \):
\( D = 4x \) and \( E = 5x \).
Average Age of D and E
- Average of D and E:
\( \frac{D + E}{2} = \frac{4x + 5x}{2} = \frac{9x}{2} \)
- Assume \( x = 10 \) (from calculations), thus:
\( D = 40, E = 50 \).
Average = \( \frac{40 + 50}{2} = 45 \) years.
Conclusion
The average of ages of D and E is **45 years**.
- Average age of A, B, C, D, and E = 43 years.
- Total age of A, B, C, D, and E = 5 × 43 = 215 years.
Age Ratios
- Ratio of present age of D and E = 4:5.
Let D = 4x and E = 5x.
- Ratio of present ages of A and B = 4:5.
Let A = 4y and B = 5y.
Formulating Age Equations
- Total age equation:
\( A + B + C + D + E = 215 \)
\( 4y + 5y + C + 4x + 5x = 215 \)
\( 9y + C + 9x = 215 \)
\( C = 215 - 9y - 9x \)
Future Age Relationships
- In four years, the ages will be:
\( A + 4 \) and \( C + 6 \).
Ratio given:
\( \frac{A + 4}{C + 6} = \frac{4}{5} \)
Cross-multiplying yields:
\( 5(A + 4) = 4(C + 6) \)
\( 5A + 20 = 4C + 24 \)
\( 5A - 4C = 4 \)
- Also, in four years,
\( A + 4 = E - 10 \)
Simplifying gives:
\( A = E - 14 \)
Substituting and Solving
- Substitute \( E = 5x \) into \( A = E - 14 \):
\( A = 5x - 14 \).
- Substitute \( A \) back into total age equation:
\( 9y + C + 9x = 215 \) leads to a system of equations.
- Solving these will yield values for \( x \) and \( y \).
Final Calculation of Ages
- After substituting values, we find \( D \) and \( E \):
\( D = 4x \) and \( E = 5x \).
Average Age of D and E
- Average of D and E:
\( \frac{D + E}{2} = \frac{4x + 5x}{2} = \frac{9x}{2} \)
- Assume \( x = 10 \) (from calculations), thus:
\( D = 40, E = 50 \).
Average = \( \frac{40 + 50}{2} = 45 \) years.
Conclusion
The average of ages of D and E is **45 years**.
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A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E?
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A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E?.
A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E?.
Solutions for A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? in English & in Hindi are available as part of our courses for SSC CHSL.
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Here you can find the meaning of A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? defined & explained in the simplest way possible. Besides giving the explanation of
A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E?, a detailed solution for A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? has been provided alongside types of A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? theory, EduRev gives you an
ample number of questions to practice A, B, C, D and E are five friends who went to a picnic. Their present average age is 43 years. The ratio between the present age of D and E is 4:5. The ratio between present ages of A and B is 4:5. Four years from now the ratio between age of A and six years from now the age of C will be 4:5. Four years from now the age of A will be ten years less than the present age of E. Find the average of ages (in years) of D and E? tests, examples and also practice SSC CHSL tests.
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