Question

На поляне паслись ослы. К ним подошли несколько мальчиков. "Сядем на ослов по одному",- предложил старший. Двум мальчикам ослов не хватило. "Попробуем сесть по двое" - снова предложил старший. Тогда один осёл остался без седока. Сколько ослов и сколько мальчиков было на поляне?

Answer 1

Пусть наполяне Х ослов и У мальчиков
запишем условие в виде системы уравннений
Х+2=У
Х-1=У/2

отсюда

 Х-1=(Х+2)/2
Х-1=Х/2+1
2Х/2-2/2=Х/2+2/2
2Х-2=Х+2
2Х-Х=2+2
Х=4 осла паслись на поляне

4+2=У
У=6 мальчиков паслись на поляне с ослами

Answer 2

Problem Analysis

The problem describes a situation where several donkeys are in a field, and a group of boys approaches them. The older boy suggests that they sit on the donkeys one by one, but there aren't enough donkeys for all the boys. Then, the older boy suggests that they try sitting two by two, which leaves one donkey without a rider. The question is to determine the number of donkeys and boys in the field.

Solution

Let's denote the number of donkeys as D and the number of boys as B. We can use the given information to form equations and solve for the values of D and B.

Equations

1. When the boys sit on the donkeys one by one, there are not enough donkeys: - This can be represented as: D < B

2. When the boys sit on the donkeys two by two, one donkey is left without a rider: - This can be represented as: D - 1 = B / 2

Solving the Equations

We can solve these equations to find the values of D and B.

Solution

By solving the equations, we find that there were 3 donkeys and 5 boys in the field.

Final Answer: There were 3 donkeys and 5 boys on the field.