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In Mathematics / High School | 2025-07-08

Vedant's present age is four years less than Sheetal's age after seven years. The ratio of present ages of Sheetal and Shipra is 13:23 respectively. Shipra is 12 years younger than Nutan whose present age is 58 years. What is Vedant's present age? (1) 29 years (2) 23 years (3) 24 years (4) Can't be determined (5) None of these

Asked by eminh8745

Answer (1)

To find Vedant's present age, let's work step by step using the information provided.

Determine the ages of Nutan and Shipra:

Nutan's present age is given as 58 years.
Shipra is 12 years younger than Nutan, so Shipra's age is: 58 − 12 = 46 years


Use the given ratio to find Sheetal's age:

The ratio of the present ages of Sheetal and Shipra is given as 13:23.
Using this ratio, let Sheetal's age be 13 x and Shipra's age be 23 x .
We already know Shipra's age is 46 years, so 23 x = 46 .
Solving for x , we get: x = 23 46 ​ = 2
Therefore, Sheetal's age is 13 x = 13 × 2 = 26 years .


Find Vedant's age:

Vedant's age is described as four years less than Sheetal's age after seven years.
Sheetal's age after seven years will be 26 + 7 = 33 years .
Therefore, Vedant's present age will be 33 − 4 = 29 years .



Based on the above calculations, Vedant's present age is 29 years.
Thus, the correct option is: (1) 29 years.

Answered by LiamAlexanderSmith | 2025-07-20