Two numbers are such that the ratio between them is 3: 5. If each is increased by 20, then the ratio between the new numbers so formed is 7: 9. Find the original numbers. |
A) 9, 15
B) 24, 40
C) 27, 45
D) 15, 25
Correct Answer: D
Solution :
Let the two numbers be 3x and 5x. |
Then, \[\frac{3x+20}{5x+20}=\frac{7}{9}\] |
\[\Rightarrow \] \[27x+180=35x+140\] |
\[\Rightarrow \] \[180-140=35x-27x\] |
\[\Rightarrow \] \[40=8x\] |
\[\therefore \] \[x=\frac{40}{8}=5\] |
Hence, the numbers are 15 and 25. |
You need to login to perform this action.
You will be redirected in
3 sec