Question

The sum of two numbers is

74.74.  
If
four timesfour times
the smaller number is subtracted from the larger​ number, the result is
4.4.  
Find the two numbers

The larger number is ____
The smaller number is _____

Answer 1

Answer:
The larger number is 60
The smaller number is 14

Step-by-step 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

Hope this helps :)

Answer 2

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.