| The ratio of the age of Ram and Rahim 10 yr's ago was 1: 3. The ratio of their ages five years hence will be 2: 3. Then, the ratio of their present ages is [SSC (CGL) 2011] |
A) 1 : 2
B) 3 : 5
C) 3 : 4
D) 2 : 5
Correct Answer: B
Solution :
| Let 10 yr's ago, ages of Ram and Rahim were and 3x yr's, respectively. |
| Present age of Ram = x + 10 |
| Present age of Rahim = 3x +10 |
| According to the question, |
| \[\frac{x+10+5}{3x+10+5}=\frac{2}{3}\] |
| \[\Rightarrow \] \[3x+45=6x+30\] |
| \[\Rightarrow \] \[3x=15\] |
| \[\Rightarrow \] \[x=5\] |
| \[\therefore \]Required Ratio \[=\frac{5+10}{3\times 5+10}=\frac{15}{25}=3:5\] |
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