...=-= ol the second. a— b a—b Prob. 45. Divide the number 45 into four such parts, that the first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal. In solving examples of this kind, several unknown quantities are usually introduced,...

...problem, 1120 + 1x = 640 + 12« — 5x = — 480 x = 96 .'. value, £4.16s. 17. To divide the number 00 into four such parts, that if the first be increased...divided by 2, the sum, difference, product and quotient, so obtained, will be all equal to each other. Let x, у, z and it, denote the parts ; from the conditions...

...which equation we find z=24, Ans. Prob. 45. Divide the number 45 into four such parts that the first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal. In solving examples of this kind, several unknown quantities are usually introduced,...

...What is the fraction ? Ans. /, . Prob. 49. Divide the number 90 into 4 such parts, that the first is increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal. Ans. 18, 22, 10, and 40. Prcb. 50. Find three numbers, such that the first with...

...the conditions of the problem, 1120 + 7ж -640+ 12ж — 5ж= -480 x = 96 .'. value, £4.16«. 17. To divide the number 90 into four such parts, that...divided by 2, the sum, difference, product and quotient, so obtained, will be all equal to each other. Let x, y, s and it, denote the parts ; from the conditions...

...we thus find the value of y. PROBLEMS. 1. Divide the number 90 into four such parts, that the first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall be equal each to each. This problem may be easily solved by introducing a new unknown quantity....

...end of 7 months, and r&3eived only £2 13s. 4d. and his livery; what was its value? Ans. £4 16*. 17. To divide the number 90 into four such parts' that...by 2, the sum, difference, product, and quotient, so obtained, will be all equal to each other. Ans. The parts are 18, 22, 10, and 40. ' 18. The hour...

...x, y and i. Ans. x = 12, yr= 20, 2 = 30. 4. Divide the number 90 into four such parts that the first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall be equal each to each. This problem may be easily solved by introducing a new uuknown quantity....

...could it be filled by the other alone? 11. Divide the number 90 into four parts such that the first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2 may all be equal. 12. A person bought 30 pounds of sugar of two different sorts, and paid for it 19s....

...Divide the number 90 into four such parts that if the first be increased by 2, the second diminished 2, the third multiplied by 2, and the fourth divided...2, the sum, difference, product, and quotient shall all be equal. Ans. 18, 22, 10, and 40. 21. Divide the number 36 into three such parts that f the first,...