The ratio of present ages of Rasika and Shami is 7:5. After 17 years the ratio of their ages will be 12:11. What is Rasika's present age?
A) 5 B) 80 C) 16 D) 7
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Answer:
D) 7
Step-by-step explanation:
ratio of present ages of Rasika and Shami = 7:5
let present ages of Rasika and Shami = 7x and 5x respectively
After 17 years their ages = 7x+17 and 5x+17 respectively
given,
(7x+17)/(5x+17) = 12/11
=> 11(7x+17) = 12(5x+17)
=> 77x + 187 = 60x + 204
=> 77x - 60x = 204 - 187
=> 17x = 17
=> x = 1
=> 7x = 7
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