You look at the change in your piggy bank. It totals £58.29 and is made up of an equal number of five coins. You have 67 coins of each value. Can you tell us what the coins are?

I once cashed a cheque at the bank. I had spent £5.67 before I realised the bank clerk had made a mistake. He had transposed the pounds with the pence. I now had exactly 4 times the value of the original cheque. What was the original cheque's value?

Exactly how many minutes is it before six o'clock if 50 minutes ago it was four times as many minutes past three o'clock?

[Ref: ZTIO]

Hint: How many minutes are there between 3:00 and 6:00?

Answer: 26 minutes.

There are 180 minutes between 3:00 and 6:00. We can ignore the "50 minutes ago" for a little while and share the remaining 130 minutes in the ratio 4:1, which is 104:26. Which means the 3 hours between 3:00 and 6:00 are made of up 104 minutes + 50 minutes + 26 minutes. So it's now 26 minutes to 6.

Which means it is now 5:34. 50 minutes ago it was 4:44 - which is 104 minutes past 3:00. QED.

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