Maths Riddles

The digits of the requested two numbers obviously form descending sequences. Furthermore, if you have two pairs of numbers with equal sums, the pair of which the numbers have the smallest absolute difference, is the one of which the numbers have the largest product. Using this knowledge, the two numbers can easily be constructed by placing the digits one by one, starting with 9 and ending with 1:
9

8 -> 96

87 -> 964

875 -> 9642

8753 -> 9642

87531
Conclusion: the requested two numbers are 9642 and 87531 (and the product of these two numbers is 843973902).

Only Statements 1 and 3 are true. the number is 499849.

7072 = 499849
499849<500000

4
5/2 = 3 and 10/3 = x
(10/3)/(5/2) = 20/15 = 4/3
So x/3 = 4/3
x=4

15¢ The cost is equal to 3¢ for each letter in the fruits name.

99+9/9 = 100

14 horses and 8 men.

If, A --> men and B --> horses

So, A + B = 22 and 2A + 4B = 72
2 (22 - B) + 4 B = 72
44 - 2 B + 4 B = 72
44 + 2 B = 72
2 B = 72 - 44 = 28
B = 14 (horses)


So, there are in the stable 8 men and 14 horses.

149 men , 259 women & 92 children

110
73037

Lets take R as red, G as green and B as blue.
R + G + B = 60
As there are 4 times red marbles than green marbles, then
R = 4G
There are 6 more blue marbles than green marbles, so
B = G + 6
Therefore,
R + G + B = 60
4G + G + G + 6 = 60
6G + 6 = 60
6G = 60 – 6
6G = 54
G = 54/6 = 9
R = 4G = 4 x 9 = 36
B = G + 6 = 9 + 6 =15
Finally there are 9 green marbles, 36 red marbles and 15 blue marbles

5:19 Starting with the watch on the left, add 42 minutes to the time shown to give the time on the next watch to the right