Puzzle 17: Commissioned

Sorry. I am not keeping up for the last few days. I am stuck in an infinite loop of trying to install an IDE on my laptop. Unsuccessfully so far.

Solution to puzzle 16:

The product of the ages of 3 sisters is 175 and two of them are twins.

Let us say the age of twins is x. So x^2 y = 175

Now the factors of 175 are 7 , 5 and 25.

So y should be 7 and x^2 is 25.

So the age of the third girl is 7.

Puzzle 17:

This puzzle is pure maths and hence will be easier to solve.

Each month, Renaldo earns a commission of 10.5% of his total sales for the month, plus a salary of $2,500. If Renaldo earns $3,025 in a certain month, what were his total sales?

Puzzle 15 : All but two

Solution to puzzle 14 Huh, sending more money would have been much easier than this puzzle. SEND MORE MONEY We have to find values for S,E,N,D,M,O,R,Y (8 digits out of 10). Now, we're adding two 4-digits numbers. Since 9999+9999 < 20000, M cannot be >=2. And by the "usual rules" for this kind of question, it can't be 0. So M=1 . Now, looking at the fourth (left-most) column, we have either S+1>=10 (if there's no carry) or 1+S+1>=10 (if there's carry). So S=8 or 9 , and O=0 or 1 . Since 1 is already taken, O=0 In the third column, we can't have E+0=N (no carry), so E+1=N and there's carry from the second column. So in the second column either N+R=10+E=9+N, and R=9, or there's carry and 1+N+R=10+E=9+N, and R=8. So R=8 or 9 , just like S. IF S=8 and R=9,we're looking at 8END + 109E ====== 10NEY But this cannot possibly work: we need to get either E+0=10+N or 1+E+0=10+N i...

Puzzle 47

Solution: First and last chests have treasure in them. Explanation : Message 1 says that middle chest has treasure. Since all messages are false, middle chest has no treasre. Message 2 says that all these chests have treasure. Which means at least one of them does not have treasure (and has poison). Which is middle chest. Message 3 says that only one of the chests has treasure. As this is false, more than one of the chests have treasure. As middle one has no treasure, the other two - first and last have treasure.

Puzzle 19 : Water, water everywhere

I know I have been greatly missed all this time. ;) Any ways, let us have some more fun with numbers and logic. Water, water everywhere This is an interesting puzzle from the website mathisfun. The cold tap in my bath lets the water in at the rate of 15 litres per minute. The hot tap fills the bath at the rate of 10 liters per minute. The plug hole lets the water out of the bath at the rate of 12 liters per minute. The bath holds a maximum of 520 liters. I turn both taps on, but forget to put the plug in. How many minutes does it take for the bath to overflow? Let me reiterate the statement by the original author here. Don't try this at home. Water is precious. Find the solution here

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