Answer:
The numbers are 38 and 57
Step-by-step explanation:
Let
x-----> the missing smaller number
y----> the missing larger number
we know that
[tex]45=\frac{40+38+46+51+x+y}{6} \\ \\270=175+x+y[/tex]
[tex]x+y= 95[/tex] -----> equation A
[tex]\frac{x}{y}=\frac{2}{3}[/tex]
[tex]x=\frac{2}{3}y[/tex] -----> equation B
substitute equation B in equation A and solve for y
[tex]\frac{2}{3}y+y= 95[/tex]
[tex]\frac{5}{3}y= 95[/tex]
[tex]y=95*3/5=57[/tex]
Find the value of x
[tex]x=\frac{2}{3}(57)=38[/tex]
