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The present age of a Manoj is twice the sum of the ages of his two children. After 20 years, the age of Manoj will become equal to the sum of the ages of his two children. What is the present age of Manoj?                     (SSC MTS 2018)
  • a)
    40 years
  • b)
    30 years
  • c)
    36 years
  • d)
    35 years
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The present age of a Manoj is twice the sum of the ages of his two chi...
Let present age of Manoj is x years.
and their two sons present age are y and z years.
According to the question,
x = 2(y + z) ...(i)
Their ages after 20 years.
x + 20 = (y + 20) + (z + 20)
x = y + z + 20
From equation (1),
x = (x/2) + 20
x - (x/2) = 20
x/2 = 20
⇒ x = 40
Hence, present age of father = 40 years.
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