Question : Four years ago, Shyam's age was $\frac{3}{4}$th times that of Ram. Four years hence, Shyam's age will be $\frac{5}{6}$th times that of Ram. What is the present age of Shyam?
Option 1: 24 years
Option 2: 20 years
Option 3: 16 years
Option 4: 15 years
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Correct Answer: 16 years
Solution : Given: Four years ago, Shyam's age was $\frac{3}{4}$th times that of Ram. Four years ago, assume the ages of Ram and Shyam were $4x$ and $3x$. Four years hence, Shyam's age will be $\frac{5}{6}$th times that of Ram. According to the question, $\frac{4x+8}{3x+8}=\frac{6}{5}$ ⇒ $20x+40=18x+48$ ⇒ $20x-18x=48-40$ ⇒ $2x=8$ ⇒ $x=4$ The present age of Shyam $=3x+4=3\times 4+4= 16$ years Hence, the correct answer is 16 years.
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Question : The ratio of the ages of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age of Shyam (in years)?
Option 1: 10
Option 2: 15
Option 3: 25
Option 4: 40
Question : The average age of a husband and his wife 3 years ago was 39 years. The average age of the husband, wife, and child is 2 years hence will be 34 years. Find the present age of the child.
Option 1: 12 years
Option 2: 16 years
Option 3: 15 years
Option 4: 18 years
Question : The average age of P, Q, and R is 19 years and that of P and Q is 20 years. R's present age is:
Option 1: 17 years
Option 2: 15 years
Option 3: 20 years
Option 4: 22 years
Question : After 4 years, Ramesh's age will be 50% more than what his age was 16 years ago. What is his present age?
Option 1: 56 years
Option 2: 52 years
Option 3: 54 years
Option 4: 46 years
Question : 4 years ago, the age of Garvit was three times that of Yuvansh, but one year ago the age of Garvit was two times that of Yuvansh. What is the difference between the ages of Garvit and Yuvansh?
Option 1: 13 years
Option 2: 11 years
Option 3: 7 years
Option 4: 6 years
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