Question

За неделю переводчик перевел в 3 раза меньше страниц романа, чем ему осталось перевести. После того, как переводчик перевел еще 60 страниц, количество переведенных страниц сравнялось с количеством оставшихся. Сколько страниц в романе?

Answer 1

X страниц перевел переводчик
3x cтраниц осталось перевести
(x+60) страниц перевел за два раза
3x-60 страниц еще осталось перевести

3x-60=x+60
3x-x=60+60
2x=120
x=120:2
x=60страниц перевел в первый раз
60*4=240страниц в романе

Answer 2

Problem Analysis

We are given that a translator translated three times fewer pages of a novel in a week than what was left to be translated. After translating an additional 60 pages, the number of translated pages became equal to the number of remaining pages. We need to determine the total number of pages in the novel.

Solution

Let's assume the total number of pages in the novel is x.

According to the given information, the translator translated three times fewer pages in a week than what was left to be translated. This can be expressed as:

Translated pages in a week = (1/3) * Remaining pages

After translating an additional 60 pages, the number of translated pages became equal to the number of remaining pages. This can be expressed as:

Translated pages in a week + 60 = Remaining pages

We can now set up an equation to solve for the total number of pages:

(1/3) * Remaining pages + 60 = Remaining pages

Simplifying the equation:

(1/3) * Remaining pages = 60

Multiplying both sides by 3 to eliminate the fraction:

Remaining pages = 180

Since the number of translated pages became equal to the number of remaining pages, the total number of pages in the novel is:

Total pages = Translated pages + Remaining pages = 180 + 180 = 360

Therefore, there are 360 pages in the novel.

Answer

The novel has a total of 360 pages.