...-19. Divide the number 90 into 4 such pnrts, that the first is increased by 2, the second diminMed by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal. Ans. 18, 22, 10, and 40. Prob. 50. Find three numbers, such that the first with...

...=-= 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,...

...480 x = 96 .'. value, £4.16s. 17. To divide the number 00 into four such parts, that if the first be increased by 2, the second diminished by 2, the...multiplied by 2, and the fourth divided by 2, the sum, difference, product and quotient, so obtained, will be all equal to each other. Let x, у, z and...

...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...

...into which 45 is to be divided, may be represented thus : The first =x—2, second =a;+2, third —1, fourth — 2x ; for if the first expression be increased...each case will be x. The sum of the four parts is 4|,r, which must equal 45. Hence a;=10. Therefore the parts are 8, 12, 5, and 20. Prob. 46. Divide...

...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....

...what was its value? Ans. £4 16*. 17. To divide the number 90 into four such parts' that if the first be increased by 2, the second diminished by 2, the...multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient, so obtained, will be all equal to each other. Ans. The parts...

...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 by 2, the sum, difference, product, and quotient shall all be equal. Ans. 18, 22, 10, and 40. 21. Divide the...