Question

Папа купил апельсины.Если каждому ребёнку в семье раздать по апельсину, то один апельсин останется лишним.А если по два апельсина. то одному ребёнку не достанется ни одного апельсина.Сколько апельсинов купил папа и сколько детей в семье?

Answer 1

3 ребёнка
4 апельсина
Если дать каждому по апельсину, то один останется, а если дать по 2, то одному ребёнку не хватит.

Answer 2

3 ребенка 4 апелисина

Answer 3

Problem Analysis

We are given the information that if each child in the family receives one orange, there will be one orange left over. And if each child receives two oranges, one child will not receive any oranges. We need to determine how many oranges the father bought and how many children are in the family.

Solution

Let's assume that the father bought x oranges and there are y children in the family.

According to the given information: - If each child receives one orange, there will be one orange left over. - If each child receives two oranges, one child will not receive any oranges.

Based on these conditions, we can set up the following equations:

Equation 1: If each child receives one orange, there will be one orange left over. x - y = 1 Equation 2: If each child receives two oranges, one child will not receive any oranges. 2x - y = 0 To solve these equations, we can use the method of substitution or elimination.

Solving the Equations

Let's solve the equations using the method of substitution:

From Equation 1, we can express x in terms of y: x = y + 1

Substituting this value of x into Equation 2: 2(y + 1) - y = 0

Simplifying the equation: 2y + 2 - y = 0 y + 2 = 0 y = -2

Since the number of children cannot be negative, this solution is not valid.

Let's try solving the equations using the method of elimination:

Multiplying Equation 1 by 2: 2x - 2y = 2

Subtracting Equation 2 from this equation: (2x - 2y) - (2x - y) = 2 - 0 -y = 2 y = -2

Again, we obtain a negative value for the number of children, which is not valid.

Conclusion

Based on the given information, it seems that there is no valid solution for the number of oranges the father bought and the number of children in the family. The given conditions lead to contradictory results.

Please note that there might be additional information or constraints missing from the problem statement that could help determine a valid solution.