103 nterest) is divided by the difference between those periods, what appens to be the quotient is the required capital in relation to all) those (given mixed sums). CHAPTER VI-MIXED PROBLEMS. Examples in illustration thereof. 48. The mixed sums are 50, 58 and 66, and the months luring which interest has accrued respectively) are 5, 7 and 9. ind out what the interest is (in each case)." 49 and 50. O arithmietician, a certain man paid out to 4 rsons 30, 31, 33 and 35, (these) being the mixed sums (of the me capital and the interest due thercon) at the end of 3, 4, 5 d 6 months (respectively) Tell me quickly, what may be the pital here? The rule for separating the capital, which is of the same value all cases, and the time (during which interest has accrued), from ir mixed sum :- 51. Wise men say that that is the (required) capital, which is ained as the quotient of the difference between (any two of) the ren) mixed sums as multiplied by each other's interest, when (difference) is divided by the difference between the (two sen) amounts of interest. Examples in illustration thereof 52. The (given) mixed sums of the capital and the periods of est are 21, 23 and 25; here, (in this problem,) the amounts terest are 6, 10 and 14. What may be the capital of equal e here? 3. The (given) mixed sums are 35, 37 and 39; and the amounts terest are 20, 28 and 36. (What is the common capital ?) Symbolically, ed sums. My vz 31 Mg 2 32 =c, where m₁, m₂, etc., are the various misras
