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] |
A) 23 yr
B) 40 yr
C) 27 yr
D) 44yr
E) None of these
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 \[B=17\times 1+10=27\,\,yr\] |
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