Respuesta :
Answer:
40 & 56
Step-by-step explanation
Use a multiple table to keep ratio.
Find correct difference by subtracting products.
___[4]__[6]__[8]__
5 [20] [30] [40]
7 [28] [42] [56]
[8] [12] [16]
5 * 8 = 40
7 * 8 = 56
56 - 40 = 16
Answer:
The two numbers are (-40,-56) where their difference is 16 and their ratio is 5:7
Solution:
Let the two numbers be "x" and "y"
Given that the difference of two numbers is 16. So we get,
x - y = 16
On rearranging the terms we get
x = 16 + y
Their ratio is 5:7 which means [tex]\frac{x}{y} = \frac{5}{7}[/tex] --- eqn 1
Substitute the value of x in equation 1
[tex]\begin{array}{l}{\frac{16+y}{y}=\frac{5}{7}} \\\\ {16+y=\frac{5 y}{7}} \\\\ {112+y=5 y} \\\\ {2 y=-112} \\\\ {y=-56}\end{array}[/tex]
Using the y value we find the x value.
x - y = 16
Substitute the value of y in above expression
So x - (-56) = 16,
x = -40
Hence the two numbers are x = -40 and y = -56.
