Question

Вера, Надя и Люба во время прогулки в лесу нашли 14 кедровых орехов, причём Вера нашла вдвое меньше орехов, чем Надя, а Люба нашла орехов больше, чем Вера, но меньше, чем Надя. Сколько орехов нашла каждая из девочек?

Answer 1

Надя нашла в 2 раза больше Веры, т.е. Надя нашла четное количество
Методом перебора
Надя(перебор)           12   10   8    6     4
Вера(Надя:2)               6     5    4    3     2
Люба(14-Надя-Вера)  -4    -1   2    5    8

Подходит только вариант
Надя-6, Вера-3, Люба-5

Answer 2

Solution:

Let's solve this step by step.

1. Let's denote the number of nuts found by Vera, Nadia, and Lyuba as V, N, and L, respectively.

2. We know that: - Vera found half as many nuts as Nadia: V = 0.5N - Lyuba found more nuts than Vera but fewer than Nadia: V < L < N - The total number of nuts found is 14: V + N + L = 14

3. We can use these equations to solve for the number of nuts found by each girl.

Calculation:

Using the given information, we can solve for the number of nuts found by each girl.

Given: - V = 0.5N - V < L < N - V + N + L = 14

Let's solve for V, N, and L.

From the equation V = 0.5N, we can substitute V in the equation V + N + L = 14: 0.5N + N + L = 14 1.5N + L = 14

Since V < L < N, we can try different values of N and L to satisfy the equation 1.5N + L = 14 and find the values that also satisfy V = 0.5N.

Let's start with N = 6 and L = 5: 1.5(6) + 5 = 14 9 + 5 = 14 (satisfied) V = 0.5(6) = 3

So, the solution is: - Vera found 3 nuts - Nadia found 6 nuts - Lyuba found 5 nuts

This satisfies all the given conditions.

Therefore, Vera found 3 nuts, Nadia found 6 nuts, and Lyuba found 5 nuts.

(#1)