Ages

Ages (1)^**/*****
“Did you know that this year the sum of our ages is a multiple of 8?” Jill asked John.
“Yes,” Tom answered. “And did you know that next year the product of our ages is a three digit number consisting of three times the same digit?”

Ages (2)^**/*****
“What a coincidence,” Bill said, who had overheard their talk. “Next year the product of the ages of Bess and me will also be a three digit number consisting of three identical digits. But this year the sum of our ages is a two digit number consisting two identical digits.”

What are the ages of John, Jill, Bill and Bess?

You can check your solution here

Clocks

On 2018, june 29, I published a post with two clock problems. Here you find two more problems.

1) Clock 1^**/*****

2) Clock 2^**/*****

You can check your solutions here

New puzzles are published at least twice a month on Fridays. Solutions are published one or more weeks later. You are welcome to comment on alternate solutions, the level of difficulty, and so on.

Clocks and time

There are many, many puzzles about clocks and time. In the nineteenth century, both Henry Dudeney and Sam Loydd designed a number of them, and in a future post I may collect them.

1) Basics^*/*****
Today I encountered this problem on twitter, posed by a teacher for his students in primary school. Whisper your solution in the ear of the teacher to enter the classroom.

2) Advanced^***/*****

You can check your solution here

New puzzles are published at least twice a month on Fridays.

Ages

Ages^**/*****

Ages^**/*****
A man is 25 years old and his wife 23. He noticed that the sum of their ages (25+23=48) is exactly 4 times the sum of the digits of their ages. (2+5+2+3=12).

When will the sum of their ages be exactly 8 times the sum of the digits of their ages? And when will it be 9 times the sum of the digits?

You can check your solutions here

New puzzles are published at least twice a month on Friday. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. Puzzles are rated on a scale of 1 to 5 stars.

Ages

In 2038 someone has an age which is exactly the sum of the digits of the year in which he was born.
In what year was he born?

You can check your solutions here

Two watches

I started two watches at the same time and found that one went two minutes an hour too slow and the other one minute an hour too fast, so that when I looked at them again the faster one was exactly one hour ahead. Can you figure out from from the picture at what time before noon the watches must have started?

This problem was first posted by American puzzle genius Sam Loyd. It was incorporated into his Cyclopedia of Puzzles on page 30.

You can check your solution here

You are welcome to remark on the quirks in the puzzle, and i especially welcome your solution times. The solutions itself will be published after one week.