Question

Олег моложе своего отца на 32 года, а его отец на столько же моложе своего отца - дедушки Олега. Всем им вместе не более ста лет, и всем целое число лет. Сколько лет будет дедушке Олега через пять лет?

Answer 1

Пускай Олегу x лет.
Тогда:
Его отцу: х+32 лет
Его дедуке: х+32+32 лет

Тогда:
Всем им: 3х+96=<100 лет, т.е.
х=<4/3, причем х - целое число, а значит подходят только 2 икса: 0 и 1, но раз Олег уже живет, значит только 1.

Тогда, деду Олега сейчас:
1+32+32=65 лет
А через 5 лет:
65+5=70 лет

Answer 2

Problem Analysis

We are given the following information: - Oleg is 32 years younger than his father. - Oleg's father is as much younger than his father (Oleg's grandfather). - The sum of their ages is not more than 100 years. - All of their ages are whole numbers.

We need to determine the age of Oleg's grandfather (Oleg's father's father) in five years.

Solution

Let's break down the problem step by step:

1. Let's assume Oleg's age is x years. 2. Oleg's father's age would then be x + 32 years. 3. Oleg's grandfather's age would be (x + 32) + 32 = x + 64 years.

We are given that the sum of their ages is not more than 100 years. So, we can write the equation:

x + (x + 32) + (x + 64) ≤ 100

Simplifying the equation:

3x + 96 ≤ 100

3x ≤ 4

x ≤ 4/3

Since all ages are whole numbers, the maximum value for x is 1.

Therefore, Oleg's current age is 1 year.

To find the age of Oleg's grandfather in five years, we add 5 to his current age:

Age of Oleg's grandfather in five years = (1 + 64) + 5 = 70 years

Answer

The age of Oleg's grandfather in five years will be 70 years.