Multiple choice

The age of Arvind's father is $4$ times of his age. If $5$ years ago, father's age was $7$ times of the age of his son, what is the age of Arvind's father at present?

  1. $35$ years
  2. $40$ years
  3. $70$ years
  4. $84$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Arvind's age be x and father's age be 4x. Five years ago: 4x-5 = 7(x-5). Solving: 4x-5 = 7x-35, so 3x = 30, x = 10. Father's present age is 4 * 10 = 40.

AI explanation

Let Arvind's present age be x years, so his father's present age is 4x years. Five years ago, their ages were x minus 5 and 4x minus 5, yielding the equation 4x minus 5 equals 7 times x minus 5. Solving 4x minus 5 equals 7x minus 35 gives 3x equals 30, so x equals 10. The father's present age is 4 times 10, which is 40 years.

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