Multiple choice

Ages of two friends are in the ratio $2 : 1$. If sum of their ages is $51$ then their ages are

  1. $34$ yrs, $20$ yrs
  2. $34$ yrs, $17$ yrs
  3. $20$ yrs, $10$ yrs
  4. $30$ yrs, $15$ yrs
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the ages be 2x and x. The sum is 2x + x = 3x = 51, so x = 17. The ages are 2(17) = 34 and 17.

AI explanation

Let the common ratio factor for their ages be x, meaning the ages are 2x and 1x. Using the method of ratios, the sum of their ages is 2x + 1x = 3x, which equals 51. Solving for x gives x = 17. Multiplying this factor by the ratio values gives their respective ages as 34 and 17 years.

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