Arithmetic

Ratio, Proportion & Variation

Medium

2 years ago ratio of Sita and Prakash age was 5 : 8 respectively. After 4 years this ratio would become 2 : 3. Find the present age ( in years ) of Sita.

24 years

30 years

32 years

35 years

✅ Correct Option: 3

Let Sita and Prakash ages 2 years ago be $5k$ and $8k$ . After 4 years (i.e., 6 years from 2 years ago): $\frac{5k+6}{8k+6} = \frac{2}{3}$ . Solving: $15k+18 = 16k+12$ , so $k = 6$ . Sita's present age $= 5(6)+2 = 32$ years.

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2 years ago ratio of Sita and Prakash age was 5 : 8 respectively. After 4 years this ratio would become 2 : 3. Find the present age ( in years ) of Sita.

Solution

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