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The present age of Sumit is 1/7th of the present age of Ashok and the age of Ashok will be twice the age of Jitendra after 6 years. Find the present age of Jitendra, if the average age of all three persons is 22.
  • a)
    21 years
  • b)
    20 years
  • c)
    16 years
  • d)
    18 years
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The present age of Sumit is 1/7thof the present age of Ashok and the a...
Since average age of all three persons is 22;
∴ S + A + J = 66   ---- (1)
∵ The present age of Sumit is 1/7th of the present age of Ashok;
∴ S = A/7   ---- (2)
And the age of Ashok will be twice the age of Jitendra after 6 years;
∴ A + 6 = 2(J + 6)
⇒ J = [(A + 6)/2] - 6   ---- (3)
From equation (1), (2) and (3)
⇒ A/7 + A + [(A + 6)/2] - 6 = 66
⇒ [2A + 14A + 7A + 42 - 84]/14 = 66
⇒ 23A = 924 + 84 - 42 = 966
⇒ A = 42
∴ J = [(42 + 6)/2] - 6 = 18
∴ Present age of Jitendra = 18 years
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Most Upvoted Answer
The present age of Sumit is 1/7thof the present age of Ashok and the a...
Since average age of all three persons is 22;
∴ S + A + J = 66   ---- (1)
∵ The present age of Sumit is 1/7th of the present age of Ashok;
∴ S = A/7   ---- (2)
And the age of Ashok will be twice the age of Jitendra after 6 years;
∴ A + 6 = 2(J + 6)
⇒ J = [(A + 6)/2] - 6   ---- (3)
From equation (1), (2) and (3)
⇒ A/7 + A + [(A + 6)/2] - 6 = 66
⇒ [2A + 14A + 7A + 42 - 84]/14 = 66
⇒ 23A = 924 + 84 - 42 = 966
⇒ A = 42
∴ J = [(42 + 6)/2] - 6 = 18
∴ Present age of Jitendra = 18 years
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The present age of Sumit is 1/7thof the present age of Ashok and the age of Ashok will be twice the age of Jitendra after 6 years. Find the present age of Jitendra, if the average age of all three persons is 22.a)21 yearsb)20 yearsc)16 yearsd)18 yearsCorrect answer is option 'D'. Can you explain this answer?
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The present age of Sumit is 1/7thof the present age of Ashok and the age of Ashok will be twice the age of Jitendra after 6 years. Find the present age of Jitendra, if the average age of all three persons is 22.a)21 yearsb)20 yearsc)16 yearsd)18 yearsCorrect answer is option 'D'. 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 Sumit is 1/7thof the present age of Ashok and the age of Ashok will be twice the age of Jitendra after 6 years. Find the present age of Jitendra, if the average age of all three persons is 22.a)21 yearsb)20 yearsc)16 yearsd)18 yearsCorrect answer is option 'D'. 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 Sumit is 1/7thof the present age of Ashok and the age of Ashok will be twice the age of Jitendra after 6 years. Find the present age of Jitendra, if the average age of all three persons is 22.a)21 yearsb)20 yearsc)16 yearsd)18 yearsCorrect answer is option 'D'. Can you explain this answer?.
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