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The present age of the father and the son are in the ratio of 7 : 3. After 6 years the ratio of their ages will be 2 : 1. What is the sum of the present age of the father and the son?
  • a)
    60 yrs
  • b)
    70 yrs
  • c)
    74 yrs
  • d)
    78 yrs
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The present age of the father and the son are in the ratio of 7 : 3. A...
⇒ Let the present age of father be 7x and age of son be 3x
⇒ Ages after 6 years
⇒ Father’s age = (7x + 6)
⇒ Age of Son = 3x + 6
⇒ According to question
⇒ Ratio = (7x + 6) / (3x + 6)
⇒ 2 / 1 = (7x + 6) / (3x + 6)
⇒ 6x + 12 = 7x + 6
⇒ x = 6
⇒ Father’s age = 7x = 7 x 6 = 42
⇒ Son’s age = 3x = 3 x 6 = 18
⇒ Sum of ages = 42 + 18
∴ Sum of ages = 60
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Most Upvoted Answer
The present age of the father and the son are in the ratio of 7 : 3. A...
⇒ Let the present age of father be 7x and age of son be 3x
⇒ Ages after 6 years
⇒ Father’s age = (7x + 6)
⇒ Age of Son = 3x + 6
⇒ According to question
⇒ Ratio = (7x + 6) / (3x + 6)
⇒ 2 / 1 = (7x + 6) / (3x + 6)
⇒ 6x + 12 = 7x + 6
⇒ x = 6
⇒ Father’s age = 7x = 7 x 6 = 42
⇒ Son’s age = 3x = 3 x 6 = 18
⇒ Sum of ages = 42 + 18
∴ Sum of ages = 60
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The present age of the father and the son are in the ratio of 7 : 3. After 6 years the ratio of their ages will be 2 : 1. What is the sum of the present age of the father and the son?a)60 yrsb)70 yrsc)74 yrsd)78 yrsCorrect answer is option 'A'. Can you explain this answer?
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The present age of the father and the son are in the ratio of 7 : 3. After 6 years the ratio of their ages will be 2 : 1. What is the sum of the present age of the father and the son?a)60 yrsb)70 yrsc)74 yrsd)78 yrsCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The present age of the father and the son are in the ratio of 7 : 3. After 6 years the ratio of their ages will be 2 : 1. What is the sum of the present age of the father and the son?a)60 yrsb)70 yrsc)74 yrsd)78 yrsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The present age of the father and the son are in the ratio of 7 : 3. After 6 years the ratio of their ages will be 2 : 1. What is the sum of the present age of the father and the son?a)60 yrsb)70 yrsc)74 yrsd)78 yrsCorrect answer is option 'A'. Can you explain this answer?.
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