-
A farmer divides his herd of n cows among his four sons so that the first son gets one – half the herd, the second son gets one – fourth, the third son gets one – fifth and the fourth son gets 7 cows. The value of n is
-
- 80
- 100
- 140
- 180
Correct Option: C
According to the question,
 | + | + |  | + 7 = n | |||
| 2 | 4 | 5 |
| ⇒ | | | + 7 = n | |
| 20 |
| ⇒ | + 7 = n | |
| 20 |
| ⇒ n − | = 7 ⇒ | = 7 | ||
| 20 | 20 |
⇒ n = 20 × 7 = 140
