Education > Complete treatise on practical arithmetic and book-keeping

DOUBLE POSITION.
131
Examples.
. A person after spending 5- and £ of hjs money, has yet
mining 60/: What had he at first ?
Suppose he had at first 120/. Proof,
tfow £ of 120 is 40 £ of 144 is 48
f of it is 30 i of 144 is 36
their sum is 70 their sum 84
• lich taken from 120' taken from 144
leaves 50 leaves 60 as per
question.
Then 50 : 120 : : 60 : 144, the answer.
What number is that, which multiplied by 7, and the
duet divided by 6, the quotient may be 14 ? Ans. 12.
' '. What number is that, which being increased by
. ^ of itself, the sum shall be 125 ? - Ans. 60.
■. A general, after sending out a foraging \ and §■ of his
n, had yet remaining 700; what number had he in com-
| nd ? - - - - Ans. 4200.
A gentleman distributed 78 pence among a number of
>r people, consisting of men, women, and children; to
h man he gave 6d, to each woman 4d, and to each child
: Moreover, there were twice as many women as men,
l thrice as many children as women. How many were
re of each ? Ans. 3 men, 6 women, and 18 children,
i. One being asked his age, said if -f of the years I have
d be multiplied by 7, and | of them be added to the
duct, the sum will be 292. Wliat was his age ?
Ans. 60 years.
DOUBLE POSITION.
AVING taken any two convenient numbers, for thepo-
pns, proceed with each, according to the conditions of
question, as if they were the true numbers sought; and
l how much the results are different from the result in
question. Next multiply each of these errors or differ-
es by the other’s position ; then if the errors be of the same
action, that is, if the results be both either too great or
little, divide the difference of the products by the differ-