Question

Олимпиадная задача! Кто справится получит баллы! (ответ я знаю) У бабушки спросили: «Бабушка, сколько лет Вашему внуку?» - «Моему внуку столько месяцев, сколько мне лет, а вместе нам 65 лет.» Сколько лет внуку?

Answer 1

Бабушка – х лет. }
Внук – х месяцев (х * 12 лет) } 65 лет
х месяцев = х лет * 12
=>
12х + х = 65
13х = 65
х = 65 / 13
х = 5
=> внуку лет это как раз х
А это 5.
Примерно идея такая.

Answer 2

Problem Analysis

This is a classic problem involving a simple algebraic equation. We are given that the grandmother's age plus the grandson's age is 65 years, and the grandson's age in months is equal to the grandmother's age in years. We need to find the grandson's age.

Solution

Let's denote the grandmother's age as G and the grandson's age as M (in months). From the given information, we have two equations: 1. G + M = 65 (in years) 2. M = 12G (in months)

We can solve this system of equations to find the values of G and M.

Solving the Equations

Substitute the value of M from the second equation into the first equation: G + 12G = 65 13G = 65 G = 65 / 13 G = 5

Now that we have the value of G, we can find the value of M: M = 12 * 5 M = 60

Answer

The grandson is 60 years old.