
Example: One whole number is three times another. Together the numbers add up to 84. Find both numbers. Let x be the first whole number. Let 3x be the second whole number. The two numbers add up to 84 : x + 3x = 84 4x = 84 x = 21 3x = 63 Therefore the first number is 21 and second number is 63. Example: One whole number is three times a second. If 20 is added to the smaller number, the result equals 6 more than the larger number. Find both numbers. let the smaller number be s and larger number be l l = 3s s + 20 = l + 6 s + 20 = 3s + 6 14 = 2s s = 7 l = 3s = 3x7 = 21 Example: Separate 45 into two parts such that twice the smaller is 9 less than the larger. Let x = the smaller part Let 45  x = the larger part twice the smaller is 9 less than the larger: 2(x) = (45x) 9 2x = 45  x  9 3x = 36 x = 12 which is the smaller part larger part = 45  x = 45  12 = 33 Directions: Answer the following questions. 