Answer: The larger number is 60 The smaller number is 14
Explanation: Assume that the larger number is x and that the smaller number id y.
We are given that: 1- The sum of the two numbers is 74. This means that: x + y = 74 This equation can be rewritten as: x = 74 - y .............> I 2- Four times the smaller number (4y) subtracted from the larger number (x), the result would be 4. This means that: x - 4y = 4 ..............> II
Substitute with I in II and solve for y as follows: x - 4y = 4 74 - y - 4y = 4 74 - 5y = 4 5y = 70 y = 70/5 y = 14
Substitute with the value of y in equation I to get x as follows: x = 74 - y x = 74 - 14 x = 60
Let x represent the smaller number. Then the larger number is 4x+4, and their total is .. x +(4x+4) = 74 .. 5x = 70 . . . . . . . subtract 4 .. x = 14 . . . . . . . . . divide by 5 .. 4x +4 = 4*14+4 = 60 . . . . . substitute into the expression for the larger number
The larger number is 60. The smaller number is 14.
