Question

Помогите пожулуйста решить задачу: У Наташи на 15 открыток больше, чем у Маши. После того, как девочкам подарили ещё по 6 открыток, у Наташи их стало в 2 раза больше, чем у Маши. Сколько открыток было у каждой девочки первоночально?

Answer 1

Наташа-? на 15 открыток >,чем у Маши
Маша- ?
(x+15+6)*2=(x+6)*2 x+21=2x+12 x=9.
Ответ: у маши 9 открыток,  у наташи 24, потом стало 15 у маши и 30 у наташи

Answer 2

Task Analysis

To solve this problem, we need to determine the initial number of cards each girl had before receiving additional cards. We are given the following information: - Natasha has 15 more cards than Masha initially. - After receiving 6 more cards each, Natasha has twice as many cards as Masha.

Let's solve this step by step.

Step 1: Setting up the equations

Let's assume that Masha initially had x cards. Since Natasha has 15 more cards, Natasha initially had x + 15 cards.

Step 2: After receiving 6 more cards each

After receiving 6 more cards each, Masha will have x + 6 cards, and Natasha will have x + 15 + 6 cards.

Step 3: Natasha has twice as many cards as Masha

According to the problem, Natasha has twice as many cards as Masha after receiving the additional cards. So, we can set up the equation:

(x + 15 + 6) = 2(x + 6)

Step 4: Solving the equation

Let's solve the equation to find the value of x.

(x + 15 + 6) = 2(x + 6)

Simplifying the equation:

x + 21 = 2x + 12

Subtracting x from both sides:

21 = x + 12

Subtracting 12 from both sides:

9 = x

So, Masha initially had 9 cards, and Natasha initially had 9 + 15 = 24 cards.

Therefore, Masha initially had 9 cards, and Natasha initially had 24 cards.