Two numbers are in the ratio 1: 2. When 4 is added to each, the ratio becomes 2: 3. Then, the numbers are [SSC (CGL) 2014] |
A) 9 and 12
B) 6 and 8
C) 4 and 8
D) 6 and 9
Correct Answer: C
Solution :
Let the two numbers be x and y, respectively. |
\[\therefore \] \[\frac{x}{y}=\frac{1}{2}\] [given] |
\[\Rightarrow \] \[y=2x\] ... (i) |
Now, when 4 is added to each number the ratio becomes 2: 3. |
Then, \[\frac{x+4}{y+4}=\frac{2}{3}\] |
\[\Rightarrow \]\[3x+12=2y+8\] |
\[\Rightarrow \]\[3x+12=2\,\,(2x)+8\] [from Eq. (i)] |
\[\Rightarrow \]\[3x+12=4x+8\] |
\[\Rightarrow \]\[x=4\] |
Now, from Eq. (i) |
\[y=2x\] |
\[\Rightarrow \] \[y=2\times 4=8\] |
So, the numbers are 4 and 8. |
You need to login to perform this action.
You will be redirected in
3 sec