Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-12

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.