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. cannot be determind c. 40 d. none e. 27
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Present age
Ratio = Sameer : Anand = 5 : 4 (Given)
Let x be the constant ratio:
Ratio = Sameer : Anand = 5x : 4x
3 years later:
Sameer = 5x + 3
Anand = 4x + 3
3 years later:
Ratio = Sameer : Anand = 11 : 9 (Given)
let y be the constant ratio:
Ratio = Sameer : Anand = 11y : 9y
Form equations:
5x + 3 = 11y ---------------- [ 1 ]
4x + 3 = 9y ---------------- [ 2 ]
[ 1 ] x 4 : 20x + 12 = 44y ---------------- [ 3 ]
[ 2 ] x 5 : 20x + 15 = 45y ---------------- [ 4 ]
[ 4 ] - [ 3 ]: y = 3 ---------------- Sub into [ 1 ]
5x + 3 = 11 (3)
5x + 3 = 33
5x = 30
x = 6
Find Ananda's age:
Ananda = 4x = 4(6) = 24 years old
Answer: (a) 24 years old
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11
Answer:
Let the present age of Sameer be 5x and Anand be 4x respectively.
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