Multiple choice

$2$ years back the age of Sushil's father was $7$ times Sushil's age then. If the sum of their present age is $36$ years, what is the age of Sushil's father at present in years?

  1. $28$
  2. $30$
  3. $40$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages 2 years ago be S and 7S. Present ages are S+2 and 7S+2. (S+2) + (7S+2) = 36 => 8S + 4 = 36 => 8S = 32 => S = 4. Father's present age = 7(4) + 2 = 30.

AI explanation

Let the present ages of the father and Sushil be F and S. Two years ago, their ages were F - 2 and S - 2, giving the equation F - 2 = 7(S - 2). We also know F + S = 36, so substituting F = 36 - S into the first equation results in 34 - S = 7S - 14, meaning 8S = 48 and S = 6. The father's present age is 36 - 6, or 30 years.

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