Question

На первом катере было в 2 раза больше людей,чем на втором.Когда на ближайшей пристани катера сошло 98 человек,а со второго 16,то на обоих катерах людей стало поровну.Сколько человек на каждом катере первоначально?

Answer 1

2х - изначально людей на первом катере
х - изначально людей на втором катере

2х-98=х-16
х=-16+98
х=82
82 человека было изначально на 2 катере
82*2=164 человека было изначально на 1 катере

Answer 2

Problem Analysis

We are given two boats, and the first boat initially had twice as many people as the second boat. When 98 people got off at the nearest dock from both boats, there were an equal number of people left on each boat. We need to determine the initial number of people on each boat.

Solution

Let's assume that the initial number of people on the second boat is x. Since the first boat initially had twice as many people as the second boat, the initial number of people on the first boat would be 2x.

When 98 people got off at the nearest dock from both boats, there were an equal number of people left on each boat. This means that the number of people left on each boat is half of the initial number of people on each boat.

Let's calculate the number of people left on each boat: - Number of people left on the first boat = (2x)/2 = x - Number of people left on the second boat = x/2

According to the given information, 16 people got off the second boat at the nearest dock. So, we can set up the following equation: x/2 = 16

Solving this equation will give us the value of x, which represents the initial number of people on the second boat. Once we have the value of x, we can calculate the initial number of people on the first boat, which is 2x.

Let's solve the equation to find the initial number of people on each boat.

Calculation

To find the initial number of people on each boat, we need to solve the equation x/2 = 16.

Multiplying both sides of the equation by 2, we get: x = 16 * 2 x = 32

So, the initial number of people on the second boat is 32.

The initial number of people on the first boat is twice the number of people on the second boat, which is: 2x = 2 * 32 = 64

Therefore, the initial number of people on the first boat is 64, and the initial number of people on the second boat is 32.

Answer

The initial number of people on the first boat is 64, and the initial number of people on the second boat is 32.