SATHEE: Quantitative Aptitude Ques 1924

Quantitative Aptitude Ques 1924

Question: 10 yr before, the ratio of ages of A and B was 13: 17. After 17 yr from now, the ratio of their ages will be 10: 11. The present age of B is [SBI (PO) 2012]

Options:

A) 23 yr

B) 40 yr

C) 27 yr

D) 44yr

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Let the ages of A and B 10yr before be 13x yr and 17x yr, respectively. Then, present age of $ A=13x+10 $ and present age of $ B=17x+10 $ According to the question, $ \frac{13x+10+17}{17x+10+17}=\frac{10}{11} $

$ \Rightarrow $ $ \frac{13x+27}{17x+27}=\frac{10}{11} $

$ \Rightarrow $ $ 143x+297=170x+270 $

$ \Rightarrow $ $ 27x=27 $

$ \therefore $ $ x=1 $ Hence, present age of $ B=17\times 1+10=27yr $

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Quantitative Aptitude Ques 1924

Question: 10 yr before, the ratio of ages of A and B was 13: 17. After 17 yr from now, the ratio of their ages will be 10: 11. The present age of B is [SBI (PO) 2012]

Options:

Answer:

Solution:

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