Question : The ages of Gyanendra and Arbind are in the ratio 6 : 5. If the sum of their ages is 55 years, then what will be the ratio of their ages seven years from now?
Option 1: 5 : 6
Option 2: 37 : 32
Option 3: 32 : 37
Option 4: 6 : 5
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Correct Answer: 37 : 32
Solution : Given: Ratio of Gyanendra and Arbind = 6 : 5 The sum of their ages = 55 years Let the age of Gyanendra be $6x$ and the age of Arbind be $5x$. According to the question, ⇒ $6x+5x=55$ ⇒ $11x=55$ ⇒ $x=5$ So, age of Gyanendra = 6 × 5 = 30 years Age of Arbind = 5 × 5 = 25 years After 7 years, ratio of their ages = (30 + 7) : (25 + 7) = 37 : 32 Hence, the correct answer is 37 : 32.
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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 : Directions: The ratio between the present ages of Pankaj and Punit is 5 : 6, and the sum of their ages is 33 years. What will be the difference (in years) of their ages?
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
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 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
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
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