238 ARITHMETIC. 



3. What number, taken from the square of 48, wll! 

 leave 16 times 54? Ans. 1440. 



4. What number, added to the thirty-first part of 3813, 

 will make the sum 200 ? , Ans. 77, 



5. The remainder of a division is 325, the quotient 

 467, an,d the divisor is 43 more than the sum of both : 

 what is the dividend ? Ans. 390270. 



6. Two persons depart from the same place at the same 

 time ; the one travels 30, the other 35 miles a d«y : how 

 far are they distant at the end of 7 days, if they travel both 

 the same road ; and how far, if they travel in contrary di- 

 rections ? Ans. 35, and 455 miles. 



7. A tradesman increased his estate annually by lool. 

 more than -^ part of it, and at the end of 4 years found, 

 that his estate amounted to 10342I. 3s. pd. What had he 

 at first ? Ans. 4000I. 



8. Divide 1200 acres of land among A, B and C, so that 

 B may have 100 more than A, and C 64 more than B. 



, Ans. A 312, B 412 and C 476. 



9. Divide 1000 crowns ; give A 120 more, and B pj 

 less, than C. Ans. A 445, B 23-0, C 325. 



10. What sum of money will amount to 132I. i6s. 3d. 

 in 15 months, at 5 per cent, per annum, simple interest ? 



Ans. 125I. 



11. A father divided his fortune among his sons, giving 

 A 4 as often as B 3, and C 5 as often as B 6 : what was 

 the whole legacy, supposing A's share 5000I. ? 



. Ans. 11875I. 



12. If 1000 mezi, besieged in a town with provisions . 

 for 5 weeks, each man being allowed i6oz. a day, were re- 

 inforced with 500 men more. On hearing, that they cannot 

 be relieved till the end of 8 weeks, how many ounces a 

 day niust each man have, that thp provision may l^st that 

 time ? Ans. 6j0z. 



13. What number is that, to Vv^hich if -y of -|- be added, ^. 

 the Bum will be i ? Ans. I"!-. 



14. A 



