-
The difference of two numbers is 45% of their sum. The ratio of the larger number to the smaller number is
-
- 20 : 9
- 9 : 20
- 29 : 11
- 11 : 29
Correct Option: C
Let the numbers be p and q and p is greater than q.
Then p – q = 45% of (p + q)
| ⇒ p – q = | (p + q) | 100 |
| ⇒ p – q = | (p + q) | 20 |
⇒ 20p – 20q = 9p + 9q
⇒ 20p – 9q = 20q + 9q
⇒ 11p = 29q
| ⇒ | = | or 29 : 11 | ||
| q | 11 |
