Multiple choice

Ten years ago, Sunil was half of Saudi’s age. If the age of both at present is in the ratio of 3 : 4, what will be the total of their present age?

  1. 20 years

  2. 30 years

  3. 35 years

  4. 45 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages be 3x and 4x. Ten years ago, ages were 3x-10 and 4x-10. Given 3x-10 = (1/2)(4x-10). Multiply by 2: 6x-20 = 4x-10. 2x = 10, so x = 5. Present ages are 15 and 20. Total = 35.

AI explanation

Let the present ages of Sunil and Saudi be 3x and 4x respectively. Ten years ago, Sunil was half of Saudi's age, creating the equation 3x - 10 = 0.5(4x - 10). Multiplying by 2 gives 6x - 20 = 4x - 10, which simplifies to 2x = 10 and x = 5. The total of their present ages is 3x + 4x = 7x, which equals 7 times 5, or 35 years.

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