Multiple choice

Suresh is half his father's Age. After $20$ years, his father's age will be one and a half times the Suresh's age. What is his father's age now?

  1. $40$
  2. $20$
  3. $26$
  4. $30$
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A Correct answer
Explanation

Let Suresh's age be x and his father's age be 2x. After 20 years, Suresh is x+20 and his father is 2x+20. The equation 2x+20 = 1.5(x+20) simplifies to 2x+20 = 1.5x+30, so 0.5x = 10, meaning x = 20. The father's current age is 2x = 40.

AI explanation

Let Suresh's present age be x years, so his father's age is 2x. After 20 years, Suresh will be x plus 20 and his father will be 2x plus 20. Given that the father's future age is one and a half times Suresh's future age, the equation is 2x plus 20 equals 1.5 times x plus 20, which simplifies to 0.5x equals 10 and x equals 20. Therefore his father's present age is 2 times 20 which is 40 years.

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