10ticks Friday Puzzle

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Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!

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This week's Friday Puzzle

A man’s age, when the digits are reversed, is the same as his daughter’s age.

The sum of their ages is 99 and the difference between their ages is a cubic number.

Find the ages of the man and his daughter.

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Friday Puzzle (21/04/2017)

An uncancelled fraction is equal to 1/2. Its numerator is reduced by 2 and its denominator increased by 2 so the fraction is now worth 1/3. What was the original fraction?

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Friday Puzzle (07/04/2017)

153 is a 3-digit number where the sum of the cubes of the digits is equal to the number.
13 + 53 + 33 = 153

Find another 3-digit number that has this property.
(There are 3 more!)

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Friday Puzzle (31/03/2017)

The sum of the consecutive integers from -72 to x, inclusive is 298.

What is x?

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Friday Puzzle (24/03/2017)

A rectangle is inscribed into the quadrant of a circle as shown.

Given the unit distances shown, find the length of AC.


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Friday Puzzle (17/03/2017)

The lowest common factor of 1147 and 1517 is 1.
What is the next lowest common factor?

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Friday Puzzle (10/03/2017)

A group of friends went out for a meal. The bill came to £200 but two of the friends had left when it was time to pay. This meant the others had to pay £5 extra to cover their meals.

How many friends originally went out for the meal?

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Friday Puzzle (03/03/2017)

What should every Roman child be?

Take one hundred and one and to it affix half of a dozen.
Append half a century to this to see what every good child should be.

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Friday Puzzle (24/02/2017)

Start with the number 15.
Add the numbers 1 to 5. 1 + 2 + 3 + 4 + 5 = 15.

There is one other two-digit number with this property. Find it.

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Friday Puzzle (17/02/2017)

A baker needs to bake three cakes, but he can only fit two cakes in the oven at a time. The cakes need to be baked for two minutes
on each side.
What is the minimum time the baker needs to bake all three cakes?

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