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Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?
- a)24
- b)27
- c)40
- d)Can not be determined
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectivel...
Let the present ages of Sameer and Anand be
5x years and 4x years respectively.
⇒ 9(5x + 3) = 11(4x + 3)
⇒ 45x + 27 = 44x + 33
⇒ 45x – 44x = 33 – 27
⇒ x = 6
∴ Anand’s present age = 4x = 4 × 6 = 24 years.
5x years and 4x years respectively.
⇒ 9(5x + 3) = 11(4x + 3)
⇒ 45x + 27 = 44x + 33
⇒ 45x – 44x = 33 – 27
⇒ x = 6
∴ Anand’s present age = 4x = 4 × 6 = 24 years.
Most Upvoted Answer
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectivel...
Let's assume that the present age of Sameer is 5x and the present age of Anand is 4x.
Three years hence, Sameer's age will be 5x + 3 and Anand's age will be 4x + 3.
According to the second statement, the ratio of their ages will become 11 : 9:
(5x + 3)/(4x + 3) = 11/9
Cross multiplying, we get:
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6
Therefore, the present age of Anand is 4x = 4(6) = 24 years. Answer: \boxed{24}.
Three years hence, Sameer's age will be 5x + 3 and Anand's age will be 4x + 3.
According to the second statement, the ratio of their ages will become 11 : 9:
(5x + 3)/(4x + 3) = 11/9
Cross multiplying, we get:
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6
Therefore, the present age of Anand is 4x = 4(6) = 24 years. Answer: \boxed{24}.
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Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?a)24b)27c)40d)Can not be determinedCorrect answer is option 'A'. Can you explain this answer?
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