# A graduated series of exercises in elementary algebra

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Page 4 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 50 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Page 61 - There are three numbers in arithmetical progression, whose sum is 21 ; and the sum of the first and second is to the sum of the second and third as 3 to 4.
Page 49 - Two detachments of foot being ordered to a station at the distance of 39 miles from their present quarters, begin their march at the same time ; but one party, by travelling...
Page 36 - A composition of copper and tin, containing 100 cubic inches, weighed 505 ounces ; how many ounces of each metal did it contain, supposing a cubic. inch of copper to weigh 5£ oz., and a cubic inch of tin to weigh 4J oz.
Page 36 - At the review of an army, the troops were drawn up in a solid mass, 40 deep, when there were just one-fourth as many men in front as there were spectators. Had the depth however been increased by 5, and the spectators drawn up in the mass with the army, the number of men in front would have been 100 fewer than before.
Page 1 - If a garrison of 600 men have provisions for 5 weeks, allowing each man 12...
Page 70 - Prob. 3. Find two numbers, the greater of which shall be to the less, as their sum to 42 ; and as their difference to 6.
Page 47 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 50 - There are two numbers whose product is 120. If 2 be added to the less, and 3 subtracted from the greater, the product of the sum and remainder will also be 120. What are the numbers ? Ans. 15 and 8.