Question

У Кати было в 2 раза больше конфет . чем у Вовы.Катя отдала Вове 5 конфет,а еще 3 сьела сама.Оказалось. что теперь у Вовы конфет больше.Сколько было конфет у Кати и у Вовы. а сколько стало?

Answer 1

Х- конфет у Вовы, 2х- у Кати 1) 2х-5-3=х+5, 2х-х=5+5+3, х=18-у Вовы было первоначально, 2×18=36- у Кати было , у Вовы стало- 23, у Кати стало- 14

Answer 2

Problem Analysis

We are given that Katya had twice as many candies as Vova. Katya gave Vova 5 candies and ate 3 herself. After this, it turned out that Vova had more candies than before. We need to determine the initial number of candies Katya and Vova had, as well as the final number of candies they have.

Solution

Let's assume that Vova initially had x candies. According to the given information, Katya had twice as many candies as Vova, so she initially had 2x candies.

After Katya gave Vova 5 candies, Vova now has x + 5 candies. Katya also ate 3 candies, so she now has 2x - 3 candies.

It is stated that Vova now has more candies than before. This means that x + 5 > 2x.

To find the initial number of candies, we can solve the inequality: x + 5 > 2x

Subtracting x from both sides, we get: 5 > x

So, the initial number of candies Vova had is any number less than 5.

To find the final number of candies, we substitute the value of x into the expressions we derived earlier.

Vova's final number of candies: x + 5 Katya's final number of candies: 2x - 3

Let's calculate the initial and final number of candies for Vova and Katya.

Calculation

Since the problem does not provide a specific value for the initial number of candies Vova had, we can choose any number less than 5 for our calculation. Let's assume Vova initially had 3 candies.

Vova's initial number of candies: 3 Katya's initial number of candies: 2 * 3 = 6

Vova's final number of candies: 3 + 5 = 8 Katya's final number of candies: 2 * 3 - 3 = 3

Therefore, initially, Katya had 6 candies and Vova had 3 candies. After Katya gave Vova 5 candies and ate 3 herself, Vova ended up with 8 candies, and Katya ended up with 3 candies.

Answer

Initially, Katya had 6 candies and Vova had 3 candies. After Katya gave Vova 5 candies and ate 3 herself, Vova ended up with 8 candies, and Katya ended up with 3 candies.