Maths Puzzles

 Have not posted here for a long time. Been not busy and idling away.   Here is a simple number puzzle.  Use the numbers 1, 9, 9 and 6 in exactly that order to make the following number.  28, 32, 35, 72, 100 and 1000. You can use the following operators. + - X / √, ^ (exponent symbol).   The question is borrowed from  the site mathisfun.com                  You can find the solution in this post .  

What is the pair of numbers whose product is equal to the product of its least common multiple (LCM) and greatest common divisor (GCD)? The GCD is the largest positive integer that divides each of two or more integers.   The LCM is the smallest positive integer that is divisible by both integers You can find the solution here . Hint: The problem is much much easier than you think. 

 In the equation given below, the numbers and symbols and operators are scrambled.   Can you re-arrange the numbers and symbols so that the equation on left hand side will have the value given on the right hand side.  You should use all the numbers and all the symbols given.  Find the solution here .

The numbers 1 to 6 are placed in the triangle below so that sum of each side is 12. Can you use the same set of numbers, arrange them in a triangle so that each side totals to 9 instead? You can find the solution here .