Answers 273is the square of 312. The next lowest answer is the five cubes of 25,26, 27,28,
and 29, which together equa1315^2 •
- TWO CUBES
The cube of 7 is 343, and the cube of 8 is 512; the difference, 169, is
the square of 13.- CUBE DIFFERENCES
The cube of 642 is 264,609,288, and the cube of 641 is 263,374,721, the dif-
ference being 1,234,567, as required.- ACCOMMODATING SQUARES
The number is 225,625 (the squares of 15 and 25), making the square of 475.- MAKING SQUARES
An answer is as follows: 482, 3,362, 6,242, which have a common difference
of 2,880. The first and second numbers sum to 622 , the first and third to 822 ,
and the second and third to 982 •
- FIND THE SQUARES
If you add 125 to 100 and also to 164, you get two square numbers, 225 and
289, the squares of 15 and 17 respectively.- FORMING SQUARES
The officer must have had 1,975 men. When he formed a square 44 X 44 he
would have 39 men over, and when he attempted to form a square 45 X 45
he would be 50 men short.- SQUARES AND CUBES
If we make one number 625m^6 , and the other number double the first, we