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The present age of a father is 3 yrs more than three times the age of his son. Three yrs hence, father's age will be 10 yrs more than twice the age of his son. The father's present age is
  • a)
    33 yrs
  • b)
    39 yrs
  • c)
    45 yrs
  • d)
    40 yrs
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The present age of a father is 3 yrs more than three times the age of ...
Let father’s age be x & son’s age be y

By 1st condition:

3 + 3y = x (three plus three times age of son is father’s age)

By 2nd condition:

x + 3 = 2(y + 3) + 10 [here we are talking about 3 years hence. So 3 has to be added to their present ages, and then satisfy the condition]

So the final 2 equations are

x-3y = 3 … (1)

x-2y = 13 … (2)

Solving them we get

y = 10, x = 33

So the father’s present age is 33 and that of the son is 10.
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The present age of a father is 3 yrs more than three times the age of his son. Three yrs hence, father's age will be 10 yrs more than twice the age of his son. The father's present age isa)33 yrsb)39 yrsc)45 yrsd)40 yrsCorrect answer is option 'A'. Can you explain this answer?
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