1. **State the problem:** There are 35 more boys than girls in a village, and the total number of boys and girls is 137. We need to find how many boys are there. 2. **Define variables:** Let the number of girls be $g$. 3. **Express boys in terms of girls:** Since there are 35 more boys than girls, the number of boys is $g + 35$. 4. **Write the total equation:** The total number of boys and girls is 137, so: $$g + (g + 35) = 137$$ 5. **Simplify the equation:** $$2g + 35 = 137$$ 6. **Solve for $g$:** $$2g = 137 - 35$$ $$2g = 102$$ $$g = \frac{102}{2} = 51$$ 7. **Find the number of boys:** $$\text{boys} = g + 35 = 51 + 35 = 86$$ **Final answer:** There are 86 boys in the village.