[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 494

 
Integer:
The day before yesterday, Peter was 17 years old. Next year he will be 20 years old. How can that be?

The day before yesterday is December 30th, today is January 1st, his birthday is December 31st ;)
 
San_Sani4:

The day before yesterday is December 30, today is January 1, the birthday is December 31 ;)

wrong 100%

30.12.01 - the day before yesterday was 17

01.01.02 - "today" (31.12.02 will be 18 years)

31.12.03 - will be 19 not 20

 
yuku:

wrong 100%

30.12.01 - the day before yesterday was 17

01.01.02 - "today" (31.12.02 will be 18 years)

31.12.03 - will be 19 instead of 20


DR means 31.12.01 (i.e. yesterday, which is not inconsistent) already 18 years old

31.12.02 - 19 years

31.12.03 - will be 20 years

 
And the second solution?
 
TheXpert:
And the second solution?

Studio!!!
 
Tomorrow. Hasn't anyone figured it out?
 
TheXpert:
Tomorrow. Hasn't anyone figured it out?

Tomorrow Petya will be drafted into the army, so a year out of life may well be thrown away))
 

Whoever can do it is the best :)

An ancient pupil's problem from 1703 for children.


A man asked a teacher, "How many pupils do you have in your class?

as I want to send my son to you to study"? The teacher replied:

"If there come as many more pupils as I have, and half as many, and a fourth, and your son, then I will have 100 pupils."


How many disciples did the teacher have?

 

I used to solve it this way:

A flock of geese was flying and another goose met them:

- Hello first goose, hello Dobrynia Nikitich.

- Hello goose, flying with us.

- And how many of you?

- If you take us and half of us and a quarter of us and you goose with us, that makes 100.

How many geese were there?

 
sanyooooook:

I used to solve it this way:

A flock of geese was flying and another goose met them:

- Hello first goose, hello Dobrynia Nikitich.

- Hello goose, flying with us.

- And how many of you?

- If you take us and half as many of us and a quarter of us and you goose with us, that makes 100.

How many geese were there?


The correct question was this:

If you take that many of us and half a hundred of us and a quarter of us and you goose with us, that makes 100.

Then x+x+0.5x+0.25x=2.75x, so it is 100-1=99 and x=36.