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Kathik is younger than somu by 12years. If 6year ago ratio of their ages was 3:5.find the ratio of their ages after six years from now.
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Kathik is younger than somu by 12years. If 6year ago ratio of their a...
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Kathik is younger than somu by 12years. If 6year ago ratio of their a...
Given Information:
- Kathik is younger than Somu by 12 years.
- 6 years ago, the ratio of their ages was 3:5.
To Find:
- The ratio of their ages after six years from now.
Step-by-Step Solution:
1. Let's assume:
- The present age of Kathik = K years
- The present age of Somu = S years
2. From the given information:
- Kathik is younger than Somu by 12 years, so we can write the equation:
K = S - 12
3. 6 years ago:
- Kathik's age = K - 6
- Somu's age = S - 6
4. The ratio of their ages 6 years ago:
- (K - 6) : (S - 6) = 3 : 5
5. Cross-multiplying the ratio equation:
- 5(K - 6) = 3(S - 6)
6. Expanding the equation:
- 5K - 30 = 3S - 18
7. Simplifying the equation:
- 5K - 3S = 12 (Equation 1)
8. Using the assumption from step 2:
- Substitute K = S - 12 in Equation 1
- 5(S - 12) - 3S = 12
9. Expanding and simplifying the equation:
- 5S - 60 - 3S = 12
- 2S = 72
- S = 36
10. Calculating Kathik's age:
- K = S - 12
- K = 36 - 12
- K = 24
11. After six years from now:
- Kathik's age = K + 6
- Somu's age = S + 6
12. The ratio of their ages after six years:
- (K + 6) : (S + 6) = 30 : 42
- Simplifying the ratio by dividing both sides by 6:
- (K + 6) : (S + 6) = 5 : 7
13. Final Answer:
- The ratio of their ages after six years from now is 5:7.
- Kathik is younger than Somu by 12 years.
- 6 years ago, the ratio of their ages was 3:5.
To Find:
- The ratio of their ages after six years from now.
Step-by-Step Solution:
1. Let's assume:
- The present age of Kathik = K years
- The present age of Somu = S years
2. From the given information:
- Kathik is younger than Somu by 12 years, so we can write the equation:
K = S - 12
3. 6 years ago:
- Kathik's age = K - 6
- Somu's age = S - 6
4. The ratio of their ages 6 years ago:
- (K - 6) : (S - 6) = 3 : 5
5. Cross-multiplying the ratio equation:
- 5(K - 6) = 3(S - 6)
6. Expanding the equation:
- 5K - 30 = 3S - 18
7. Simplifying the equation:
- 5K - 3S = 12 (Equation 1)
8. Using the assumption from step 2:
- Substitute K = S - 12 in Equation 1
- 5(S - 12) - 3S = 12
9. Expanding and simplifying the equation:
- 5S - 60 - 3S = 12
- 2S = 72
- S = 36
10. Calculating Kathik's age:
- K = S - 12
- K = 36 - 12
- K = 24
11. After six years from now:
- Kathik's age = K + 6
- Somu's age = S + 6
12. The ratio of their ages after six years:
- (K + 6) : (S + 6) = 30 : 42
- Simplifying the ratio by dividing both sides by 6:
- (K + 6) : (S + 6) = 5 : 7
13. Final Answer:
- The ratio of their ages after six years from now is 5:7.
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Kathik is younger than somu by 12years. If 6year ago ratio of their ages was 3:5.find the ratio of their ages after six years from now.
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Kathik is younger than somu by 12years. If 6year ago ratio of their ages was 3:5.find the ratio of their ages after six years from now. for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Kathik is younger than somu by 12years. If 6year ago ratio of their ages was 3:5.find the ratio of their ages after six years from now. covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kathik is younger than somu by 12years. If 6year ago ratio of their ages was 3:5.find the ratio of their ages after six years from now. .
Kathik is younger than somu by 12years. If 6year ago ratio of their ages was 3:5.find the ratio of their ages after six years from now. for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Kathik is younger than somu by 12years. If 6year ago ratio of their ages was 3:5.find the ratio of their ages after six years from now. covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kathik is younger than somu by 12years. If 6year ago ratio of their ages was 3:5.find the ratio of their ages after six years from now. .
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