Multiple choice

Express the given information in mathematical form using two variables : Two years hence, the father's age will be twice the son's age.

  1. $x\, -\, y\, =\, 2$
  2. $x\, -\, 2y\, =\, 2$
  3. $x\, -\, 4y\, =\, 7$
  4. $x\, -\, y\, =\, 9$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be father's age and y be son's age. Two years hence, father is x+2 and son is y+2. The condition is x+2 = 2(y+2). Simplifying: x+2 = 2y+4, which is x - 2y = 2.

AI explanation

Let the present ages of the father and son be x and y. Two years hence, their ages will be x plus 2 and y plus 2. The problem states the father's future age will be twice the son's future age, giving the equation x plus 2 equals 2 times (y plus 2). Expanding and simplifying this relationship gives x plus 2 equals 2y plus 4, which results in x minus 2y equals 2.

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