Question : The ratio of the present ages of Ram and Ramesh is 3 : 5. After 7 years the ratio of their ages will be 4 : 5. Find the present age of Ramesh.
Option 1: 5 years
Option 2: 15 years
Option 3: 7 years
Option 4: 12 years
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Correct Answer: 7 years
Solution : Let the present age of Ram and Ramesh be $3x$ and $5x$. According to the question, After 7 years, $\frac{3x+7}{5x+7}=\frac{4}{5}$ ⇒ $15x + 35 = 20x + 28$ ⇒ $35 - 28 = 20x - 15x$ ⇒ $5x = 7$ ⇒ $x = \frac{7}{5}$ So, the present age of Ramesh $= 5 × \frac{7}{5}=7$ years Hence, the correct answer is 7 years.
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Question : The ratio of the present ages of the two boys is $3:4$. After 3 years, the ratio of their ages will be $4:5$. The ratio of their ages after 21 years will be:
Option 1: $14:17$
Option 2: $17:19$
Option 3: $11:12$
Option 4: $10:11$
Question : The average age of a man and his son is 55 years. The ratio of their ages is 7 : 4, respectively. What will be the ratio of their ages after 6 years?
Option 1: 1 : 2
Option 2: 12 : 7
Option 3: 25 : 17
Option 4: 38 : 23
Question : The ratio of the present age of the father to that of his son is 7 : 2. If after 10 years the ratio of their ages becomes 9 : 4, then the present age of the father is:
Option 1: 43 years
Option 2: 35 years
Option 3: 37 years
Option 4: 40 years
Question : Eight years ago, the ratio of the ages of A and B was 5 : 4. The ratio of their present ages is 6 : 5. What will be the sum (in years) of the ages of A and B 7 years from now?
Option 1: 80
Option 2: 102
Option 3: 112
Option 4: 90
Question : Six years ago, the ratio of ages of A to B was 7 : 5. 4 years from now, the ratio of their ages will be 11 : 9. What is A’s age at present?
Option 1: $24 \frac{1}{2}$ years
Option 2: $22 \frac{1}{2}$ years
Option 3: $23 \frac{1}{2}$ years
Option 4: $21 \frac{1}{2}$ years
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