This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1845 edition. Excerpt: ...let y represent the less number; then z-f-y will express their sum, and z--y will express their difference. (1.) Then, by a condition of the question, x--y = 11. (2.) And, by another condition, x--y = 3. (3.) Adding 2d to 1st, 2z= 14. (4.) Dividing 3d by 2,.. z = 7, the greater number. (5.) Subtracting z from each mem-),-_x ber of 1st, f-y-(6.) Putting 7, the value of x, for x, ) 11--7 in 5th, )' ' y Then y = 4, the smaller number. 3. The sum of the ages of two boys is twelve years, and the difference of their ages is six years. What are their ages? 4. If x--y be added to x--y, what expression will represent their sum? 5. If 3 x-f-y be added to 4x--y, what will express the sum 1 6. If 2z--3y be added to 3z + 3y, what will represent their sum? 7. If the equation x--y = 3, be added to the equation x--y = 7, what equation will express the sum of the two? and what are the respective values of x and y? 8. If the equation x-f-y--10, be added to the equation 3z--y = 16, what new equation will result from the addition 1 What are the respective values of z and y? 9. If 2 x--y = 11 be added to the equation 4 x--y = 31, what will be the equation expressing their sum? and what numbers do x and y respectively represent? 10. If 4 x--y--27 be added to 3 z-j-y = 29, what equation will express the result? and what will be the respective values of x and y? 11. If3z--2y = 18 be added to 2z + 2y = 22, what will be the sum of the two equations? What will be the valne of x, and what the value of y 1 12. If x + 3 y--28 be added to the equation 3 x--3 y = 12, what equation will express the result? What is the value of x and y, each? 13. If the equation y = y be added to the equation x--y = 2, that is, ify be added to each member of this last equation, what will...