Answer:
[tex]x+y=40\\x=1.5y[/tex]
Step-by-step explanation:
Taking the first statement and "transcribing" it into an equation:
"The sum of two numbers is 40":
[tex]x + y = 40[/tex]
Now the second statement:
"The larger number (x) is 1.5 times the smaller number (y).":
[tex]x = 1.5y[/tex]
(we don't need to worry about the "larger" and "smaller" part, they are implied by the fact that one is 1.5 larger than the other)
So the system of equations is:
[tex]x+y=40\\x=1.5y[/tex]
If you are curious: the solution of this system goes as follows:
[tex]y=40-x\rightarrow\\x=1.5(40-x)=60-1.5x\\2.5x=60\\x = 24\rightarrow y =40-24 = 16\\x=24, y=16[/tex]
