This problem involves calculating the number of buffalos based on the total number of heads and feet of different animals.

Animal Feet vs Heads Problem Explained

1. Calculate Total Heads

Each animal has one head. Let the number of buffalos be $x$.

• Number of Pigeons = 20
• Number of Cows = 10
• Number of Dogs = 15
• Number of Buffalos = $x$

Total Heads = $20 + 10 + 15 + x = 45 + x$

2. Calculate Total Feet

Different animals have different numbers of feet:

• Pigeons have 2 feet each.
• Cows, Dogs, and Buffalos have 4 feet each.

Total Feet = (Number of Pigeons $\times$ 2) + (Number of Cows $\times$ 4) + (Number of Dogs $\times$ 4) + (Number of Buffalos $\times$ 4)
Total Feet = $(20 \times 2) + (10 \times 4) + (15 \times 4) + (x \times 4)$
Total Feet = $40 + 40 + 60 + 4x$
Total Feet = $140 + 4x$

3. Formulate the Equation

The problem states that the total number of feet is 125 more than the total number of heads.

Total Feet = Total Heads + 125
$140 + 4x = (45 + x) + 125$

4. Solve for Buffalo Count ($x$)

Simplify the equation:

$140 + 4x = 170 + x$
$4x - x = 170 - 140$
$3x = 30$
$x = \frac{30}{3}$
$x = 10$

Therefore, the number of buffalos is 10.