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Question

Five years hence a man’s age will be three times his son’s age. If the man's age is represented by 'x' and his son's age by 'y', which among the following options is a linear equation in two variables representing this statement?
  1. x - 3y = 10
  2.  x - 3y = 12
  3. x + 3y = 12
  4. x + 3y = 10


Solution

The correct option is A x - 3y = 10
Let the present age of the man and his son be x years and y years respectively.

Five years hence,
Man's age = (x + 5) years
Son's age = (y + 5) years

According to the question, we have
       x+5=3(y+5)  x+5=3y+15x3y=10
This is a linear equation in two variables which represents the given statement.

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