Brain Teasers are Back!

24, 18, 12.

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Well done JR, well done.

Anybody want to fill some of the missing integers 34 thru’ 38 ?

And of course 32 just for completeness ?

Ok.

32 = (4 x 4) + (4 x 4)

I think that was the most obvious. But there are plenty of other solutions for 32 as well.

A couple as a start:

34 = 44 - 4/.4
35 = 4! + 44/4
36 = 4x4xsqrt(4) + 4

And a couple more to get us up to 39 (which I posted last week)

37 = 4! + (4/(.4 recurring)) + 4

38 = 4! + (4!/sqrt(4)) + sqrt(4)

39 = (4! x sqrt4) - (4/(.4 recurring)) … which I posted last week

40 = ???

40 = (4+4+sqrt4) x 4

41 took me quite a bit of thinking …

41 = ((4 x 4) + .4) / .4

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Just to ensure clarity of 41

4 x 4 = 16
add .4 gives 16.4
divide 16.4 by .4
ans = 41

I’ve managed up to 52 but struggling on 53 at the moment. I’ll post in due course.

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I’m sure you will crack 53 pretty soon. I didn’t find it too difficult.

But I have found I often get stuck in a rut. I get a fixation on say 4! And then can’t see alternative, more simple solutions.

yes, got it now.

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44 + 9 ??

No, 48 + 5,
ie 53 = 4! +4! + (sqrt4/.4)

Neat !

I did 53 = 44 + 4/.4recurring

which I now hope is also correct.

Rick is 28 years older than Roy. In 6 years Rick will be 3 times older than Roy. How old is Rick now.

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Nice one Pete. :sunglasses:

I figure that Rick is currently …

I’ll leave my answer for a while to give others time to ponder. My answer is in the 12 times table.

and if I said that “Roy ate all his breakfast this morning”, you would probably know my answer for Roy’s current age as well.

I am being a little mischievous I would have no idea how old he’d be if I had to work it out myself. However I do know the answer. :grin:

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That’s the all-important thing Pete :sunglasses:

As the age gap will always be 28 years, it is perhaps easier initially to ignore the six years part, then allow for it at the end.