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Ratio of present ages of P and Q is 9 : 4. The difference between their ages is 20 years. What will be the sum (in years) of their ages after 10 years?

  • 62 years

  • 66 years

  • 72 years

  • 76 years


C.

72 years

Let P's present age be 9x years.
Q's Present age be 4x years.
According to the question,
      9x - 4x = 20
⟹   5x = 20
⟹    x = 4
Now,
Sum of their ages after 10 years
    = (9x + 10) + (4x + 10)
   = 13x + 20 = 13 x 4 + 20 = 52 + 20 = 72 years


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