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
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Correct Answer: 102
Solution : According to the question, Present ages of A and B are in the ratio of 6: 5. So, we can assume the ages of A and B as $6x$ and $5x$ respectively. 8 years ago, the ratio of ages A and B = 5 : 4 ⇒ $\frac{6x-8}{5x-8} = \frac{5}{4}$ ⇒ $24x - 32 = 25x - 40$ $\therefore x = 8$ After 7 years, the sum of ages A and B $= 6x+7 + 5x + 7$ $= 11x + 14$ $= 11 × 8 + 14$ $= 102$ years Hence, the correct answer is 102.
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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
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 : 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 : 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
Question : The current ages of Sudhir and Ashish are in the ratio 5 : 7. Twelve years ago, the ratio of their ages was 1 : 2. What will be the age of Sudhir five years from now?
Option 1: 20 years
Option 2: 25 years
Option 3: 33 years
Option 4: 28 years
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