...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 third 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...

...all equal to each other. Ans. 8, 12, and 16. 10. Divide 90 into four such parts, that if the first be increased by 2 ; the second diminished by 2 ; the...third multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient so obtained, may be all equal to each other. Ans. 18, 22,...

...will be less than that of the first horse by 13 guineas. What is the value of each horse 1 Prob. 52. Divide the number 90 into 4 such parts, that the first...diminished by 2, the third multiplied by 2, and the fourth dividedby 2, shall all be equal. If a1, y and z, be three of the parts, the fourth will be 90 — x...

...thus : The first =x— 2, second = x + 2, third = |, fourth =S2;£, for if the first expression be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the result in each case will be x. The sum of the four parts is 4^-a;, which must equal 45. Hence x...

...thus : The first =x— 2, second = x + 2, third . =|, ' fourth = 2x, for if the first expression be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the result in each case will be x. The sum of the four parts is 4^x, which must equal 45. Hence x =...

...what had he at first? Ans. 20s. (35) To divide the number 90 into 4 such parts that if the first be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient shall be all equal to each other ? Ans. The parts are 18,...

...of both will be less than that of the first horse by 1 3 guineas. What to the value of each horse 1 Ans. 56 and 33 guineas. Prob. 30. Divide the number...and z, be three of the parts, the fourth will be 90 - x - y - z. And by the conditions, The parts required are 18, 22, 10, and 40. Prob. 31. Find three...

...mo. ; 34 yrs. 4 mo. the man's age on his weddingday, &c. Ans. 9. Divide the number 90 into four §uch parts, that the first increased by 2, the second diminished...multiplied by 2, and the fourth divided by 2, shall all yield the same result Sol. As 2 is added to and subtracted from the first and second parts, respectively,...

...will be less than that of the first horse by 13 guineas. What is the value of each horse 1 Prob. 5'2. Divide the number 90 into 4 such parts, that the ....and z, be three of the parts, the fourth will be 90 — x — y — z. And by the conditions, &c. Prob. 53. Find three numbers, such that the first with...

...— x+— y+— z=1 -5 4- O to find x, y Ans. x=12, y = 20, i;=30. 4. Divide the number 90 into four such parts that the first increased by 2, the second...multiplied by 2, and the fourth divided by 2, shall be equal to each other. This question may be easily solved by introducing a new unknown quantity. Let...