The ratio between the present ages of A and B is 5 : 3, respectively. The ratio between A's age 4yr ago and B's age 4yr hence is 1 : 1. |
What is the ratio between A's age 4yr hence and B's age 4yr ago? |
A) \[1:3\]
B) \[2:1\]
C) \[3:1\]
D) \[4:1\]
Correct Answer: C
Solution :
[c] Let the present ages of A and B be 5x yr and 3x yr, respectively. |
Now, according to the question, \[\frac{5x-4}{3x+4}=\frac{1}{1}\] |
\[\Rightarrow \]\[5x-4=3x+4\] |
\[\Rightarrow \]\[2x=8\] |
\[\Rightarrow \]\[x=4\,\,yr\] |
Now, required ratio \[=\frac{(5\times 4+4)}{(3\times 4-4)}=\frac{24}{8}=3:1\] |
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