Multiple choice

Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will becomes 5 : 4 ?

  1. $8$
  2. $6$
  3. $5.5$
  4. $4$
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B Correct answer
Explanation

Let x be the number of years. The ratio equation is (14 + x) / (10 + x) = 5 / 4. Cross-multiplying gives 4(14 + x) = 5(10 + x), which simplifies to 56 + 4x = 50 + 5x, resulting in x = 6.

AI explanation

Let the number of years be x. The ratio of their ages after x years will be (14 + x) : (10 + x) = 5 : 4. By cross multiplication, 4 times (14 + x) equals 5 times (10 + x), which gives 56 + 4x = 50 + 5x. Solving for x gives x = 6. After 6 years, the ratio of their ages will become 5 : 4.

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