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?

The puzzle king · 第 93 / 216 题