...horse worth three times the 1st : what were the values of the two horses. Ans. £6, and £9. Prob. 25. It is required to divide the number 24 into two such...be to the quotient of the less part divided by the jreater, as 4 to 1. Ans. 16 and 8. Prob. 26. A cistern is to be filled with water from three different...

...greater and 2x= the difference, then, &c. Ans. 18 and 14. 2. It is required to divide the number 14 into two such parts, that the quotient of the greater part divided by the less may b? to the quotient of the less divided by the greater as 48 to 27. Let x = the greater, then 14 —...

...•+«'+;/•• Prob. 7. Divide the number 49 into two such parts, that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater, as $ to £ . Ans. 21 and 28. Prob. 8. Divide the number a into two such parts,...

...Prob. 10. It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9. Prob. 1 1 . What two numbers are as 5 to 4, the sum of whose cubes...

...horse worth three times the 1st : what were the values of the two horses. Ans. £6, and £9. Prob. 25. It is required to divide the number 24 into two such...divided by the greater, as 4 to 1. Ans. 16 and 8. Prob. 26. A cistern is to be filled with water from three different stop-cocks ; from the first it...

...whence, by the rule, x = 50 ± VT96"= 50 ± 14 ; hence, ж = 64, x — 36, and у = 36, у = 64. 11. It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Let x and у denote the parts. From the conditions...

...at 6 per cent. Prob. 57. Divide the number 56 into two such parts that the quotient of the greater divided by the less may be to the quotient of the less divided by the greater as f to |. Ans. 35 and 21. Prob. 58. There is a number consisting of two digits,...

....... : v ,<•. '«-7 4«: ^f¿* »'.<,.- ^* -,./Y/ 5. >••'•"•'' 00 ELEMENTS OF ALGEBRA. 12. It is required to divide the number 24 into two such...quotient of the greater part divided by the less, may be . __ to the quotient of the less part divided by the greater, as 4 to I Ans. 16 and 8. 13. A certain...

...greater and 2 x= the difference, then, &c. Ans. 18 and 14. 2. It is required to divide the number 14 into two such parts, that the quotient of the greater...divided by the less may be to the quotient of the less divided by the greater as 48 to 27. Let x = the greater, then 14 — x •= the less, and we have or...

...13. Divide 100 into two such parts, that the sum of theii square roots may be 14. Ans. 64 and 36. 14. It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14 15. The stun of two numbers...