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### Grade 7 - Mathematics6.16 Word Problems - Numbers

 Procedure: Read the problem carefully and note down what is given and what is required. Select a letter say x or y or z to represent the unknown quantity asked for. Represent the word statements of the problems in the symbolic language step by step. Look for quantities which are equal as per conditions given and form an equation. Solve the equation. Verify the result for making sure that your answer satisfies the requirements of the problems. Example: Half of a certain number added to its one third makes it 40. What is the number. Solution: Let the number be x. Half of the number = x/2 One third of the number = x/3 As per condition of the problem x/2 + x/3 = 40 ..........I L.C.M. of the denominators 2 and 3 is 6. Multiplying both sides of the equation by 6, we get (3x+2x)/6 = 40 5x/6 = 40 5x = 40 * 6 5x = 240 x = 240/5 x = 48 Verification: Substituting x = 48 in the equation I L.H.S. = x/2 + x/3 = 48/2 + 48/3 = 24 + 16 = 40 = R.H.S. Therefore x = 48 is the required number. Directions: Solve the following word problems. Also write at least ten examples of your own.
 Q 1: If a number is tripled and 12 is added to it, the result is equal to 30. Find the number. (Hint: Let the number be x. The algebraic equation is 3x + 12 = 30, Solve for x)712156 Q 2: 6 is added to a number and the sum is multiplied by 4. If 24 is subtracted from the product and the difference is divided by 6, the result is equal to 16. Find the number.44145624 Q 3: A number is multiplied by 3 and 6 is added to the product. If this sum is divided by 6 the result is equal to 8. Find the number.14171521 Q 4: 4 is subtracted from a number and the difference is multiplied by 2. If 15 is added to the product and the sum is divided by 7, the result is equal to 9. Find the number.18563828 Q 5: If a number is multiplied by 6 and 10 is subtracted from the product, the result is equal to 44. Find the number. (Hint: algebraic equation 6a - 10 = 44)9653 Q 6: If two thirds, one half and one seventh of a number is added to itself, the result is 15. Find the number. 630/97256360630/55 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!