THE FAMOUS “45” PUZZLE.
[88.] Take 45 from 45, and leave 45 as a remainder. There are at least two ways of doing this.
[89.] How can 45 be divided into 4 such parts that if you add 2 to the first part, subtract 2 from the second part, multiply the third part by 2, and divide the fourth part by 2, the sum of the addition, the remainder of the subtraction, the product of the multiplication, and the quotient of the division are equal?
[90.] The square of 45 is 2025, if we halve this we get 20⁄25 and 20 plus 25 equals 45. Find two other numbers of four figures that produce the same peculiarity.
[91.] A mother of a family being asked how many children she had, replied: “The joint ages of my husband and myself are at present six times the united ages of our children; two years ago their united ages were ten times less than ours, and in six years hence our joint ages will be three times theirs.” How many children had she?
WHERE THE CREEDS AGREE.
The Mahometans, Christians and Jews, with different creeds, are all striving to reach the same place—Heaven. Now, we will endeavour to show, by figures, that it is possible for them all to accomplish their purpose.