# Find the Original Numbers:

Two numbers are such that the ratio between them is 3:5. If each increased by 20, the ratio between the new numbers so formed is 7:9. Find the original numbers:

- 9, 15
- 24, 40
- 27, 45
- 15, 25

**Answer: (4) 15, 25**

**Explanation:-
**

**Given-**

The ration of two numbers = 3: 5

Then, the two numbers are 3 X and 5X

If each increased by 20,

Then, (3 X + 20)/(5 X + 20) = 7/9

by cross multiplication,

9 (3 X + 20) = 7 (5 X + 20)

27 X + 180 = 35 X + 140

35 X – 2 7 X = 180 – 140

8 X = 40

X = 40/8

X = 5

Then, the original number 3 X = 3 x 5 = 15 & 5 X = 5 x 5 = 25

Hence, the answer is (4) 15, 25.