The ages of four sisters are consecutive even integers. two times the age of the youngest sister exceeds the oldest sister's age by 30 years. the equation 2x − (x + 6) = 30 models the age, x, of the youngest sister. what is the age of the oldest sister?

Alright, lets get started.

The ages of all four sisters will be = x, x+2, x+4, x+6

As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

Simplifying the equation

So this is the age of youngest sister.

So, age of oldest sister will be

Hene the age of oldest sister is 42 years.   :  Answer

Hope it will help :)

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.