Academic Algebra
George Wentworth
Paperback
(RareBooksClub.com, Oct. 12, 2012)
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 edition. Excerpt: ... the digits is reversed. Required the number. 19. A shell fired against the wind goes 335.94 yds. in a second; if fired with the wind it goes 344.42 yds. in the same length of time. The velocity of the shell being supposed uniform when there is no wind, required this velocity. 20. There is a certain number of six figures, the figure in units' place being 4; if this figure is carried over the other five to occupy the left-hand place, the resulting number is four times the original one. Required the number. 21. A father said to his two sons, one of whom was 4 yrs. older than the other, "In 2 yrs. I shall be twice as old as the two of you together, but 6 yrs. ago I was 6 times as old as the two of you together." Required the ages of the three at present. 22. Separate the number 150 into three parts such that if the third be subtracted from the sum of the other two the remainder is 30, and if the second be subtracted from the sum of the other two the remainder is 50. 23. Separate the number 232 into three parts such that half of the difference between the first and the sum of the other two, a third of the difference between the second and the sum of the other two, and a fourth of the difference between the third and the sum of the other two, are all three equal. 24. Four towns, A, B, C, D, are so situated that the distance from A to D by way of B and C is 48 mi.; from B to A by way of C and D, 51 mi.; from C to B by way of D and A, 50 mi. The distance from C to A by way of D is 4 mi. farther than by way of B. Required the distances AB, BC, CD, DA. 25. The sum of three capitals is $111,000-. The first is invested at 4%, the second at'4%, and the third at 5%, and the total annual interest is $5120. If the first had been invested at...