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CHAPTER VI -- MIXED PROBLEMS.
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as before; and below this again is to be put down) the number which is obtained by adding the difference between the two group-values, (already reforrei to, to the product of the least romainder in the odd position of order multiplied by the abovo optionally choseu multiplier thereof, and then by dividing this resulting sum by the last divisor in the above divisiou chain.
Thus the creeper-like chain of figures required for the solution of this latter kind of problem is obtainel. This chain is to bo dealt with as before from below warls, and the resulting number is to be divided is before by the first divinor in this last division chain. The remainder obtained in this operation is thon to le) multiplied by the divisor (related to the larger group-value); and to the resulting product this larger group-value is to be added.
(Thus the value of the required multiplier of the given group number is obtained so as to satisfy the two specifici distributions taken into consideration)
Examples in illustration thereof.
1371. One hundred and seventy-seven in the dividond-cn. efficient of the unknown factor), 2.40 is the known yuantity associated (with the product soon to be added to or subtractod from it); the whole is divided lov 201 (and leaves no remainder). What is the unknown factor hore (with which the given dividend. coefficient is to be multiplied?
1381. Thirty-five and other quantities, 16 in number, riving (thenco successively in value) ly , fure the given dividond-00efficients). The given divisors are : 2 (1 others) as successively increased br 2. And l successively increased by 3 gives rise to the associated known (positive and negative) quantities. What are the values of the unknown factors of the known dividond. coefficients), according as they are additively associated with positive or negative known) numbers?
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