The smaller number is 16. The bigger number is 24.
Work Step by Step
Let X represent the smaller number. Since the sum is 40, the bigger number is 40 - X. Six times the smaller number means 6X. Four times the larger number means 4 $\times$ (40-X) = 160 - 4X. Since these expressions are equal, we solve the following equation: 6X = 160 - 4X 10X = 160 Divide both sides by 10: X = 16 The smaller number is 16. The bigger number is 40 - 16 = 24.