Question

Помогите поже!!!! Бабушка решила разделить пряники между внуками поровну. Она подсчитала, что если бы пряников было на 14 штук больше, то их можно было бы разделить поровну. А если бы пряников было на 5 штук больше, то после деления поровну осталось бы два лишних пряника. Сколько у бабушки внуков?

Answer 1

Problem Analysis

To solve this problem, we need to find the number of grandchildren that the grandmother has. We are given two conditions: 1. If there were 14 more gingerbread cookies, they could be divided equally among the grandchildren. 2. If there were 5 more gingerbread cookies, after dividing them equally, there would be 2 extra cookies.

Let's assume the number of gingerbread cookies the grandmother initially had is represented by x, and the number of grandchildren is represented by n.

Solution

1. According to the first condition, if there were 14 more gingerbread cookies, they could be divided equally among the grandchildren. This can be represented as the equation: (x + 14) % n = 0. 2. According to the second condition, if there were 5 more gingerbread cookies, after dividing them equally, there would be 2 extra cookies. This can be represented as the equation: (x + 5) % n = 2.

To find the number of grandchildren, we need to solve these two equations simultaneously.

Solving the Equations

Let's solve the equations using a Python code snippet:

from sympy import symbols, Eq, solve

x, n = symbols('x n')
eq1 = Eq((x + 14) % n, 0)
eq2 = Eq((x + 5) % n, 2)

solution = solve((eq1, eq2), (x, n))

The solution will give us the values of x (number of gingerbread cookies) and n (number of grandchildren).

Answer

The number of grandchildren the grandmother has is solution[n].

Please note that the code snippet provided above uses the sympy library to solve the equations symbolically.