HIGHER ARITHMETIC. CHAPTER X. ONE UNKNOWN QUANTITY. 1. What number increased by 12 equals 16? 2. 9 added to a number equals 14. Find the number. 3. What number diminished by 7 equals 8? 4. 18 diminished by what number has 10 for remainder? 5. Eight times what number equals 64? 6. What number multiplied by 9 gives 63 for product? 7. Three times a certain number added to twice the same 1. A horse and a wagon cost together $600. What is the price of each, if the wagon costs twice as much as the horse? Ans. Cost of horse, $200; of wagon, $400 2. Divide 100 into two parts, one of which shall be four times as large as the other. 3. $18,000 is divided among three children, the second of whom receives twice as much as the first, and the third of whom receives six times as much as the first. Required the share of each. x, 2x, 6x. 4. In a class of 54 pupils, there are twice as many boys as girls. How many are there of each? 5. The sum of two numbers is 78. One is five times as large as the other. What are the numbers? . 6. 156 is equal to seven times a number added to five times the same number. Find the number. |