Answer:
128,016
Step-by-step explanation:
Let
x ----> Rory's number
y ----> Lori's number
we know that
Rory's number is 0.3 larger than Lori's number
so
[tex]x=y+0.3[/tex] ---> equation A
The sum of their numbers is 13
so
[tex]x+y=13[/tex] ----> equation B
Solve the system by substitution
substitute equation A in equation B
[tex](y+0.3)+y=13[/tex]
solve for y
[tex]2y+0.3=13\\2y=13-0.3\\2y=12.7\\y=6.35[/tex]
therefore
Lori's number is 6.35
What is ten times Lori's number multiplied by 2016
The algebraic expression is
[tex]10y(2016)[/tex]
substitute the value of y
[tex]10(6.35)(2016)=128,016[/tex]