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.
the correct answer would be A. the mean is when you add up all of them and divide it by how many numbers there are which in this case is 5. and the median is the number in the middle, in this case 20, therefore when you add up all numbers in A ,you get 105 and you divide it by 5 which gives you 21. :))
