Respuesta :

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]