Alexis12yearsolderthanGeorge.
Carl is three times older than Alex
The sum of their ages is 68
Find the ratio of George’s age to Carl’s age to Alex’s age.
1:2:5:5:7


1:12:4

Step-by-step explanation:

We let the youngest, George, age be x

From the question Alex is 12 years older than George.

This implies that,in terms of x, Alex's age is x+12

Also,Carl is three times older than Alex

This implies that, in terms of x Carl's age is 3(x+12)

The sum of their ages is 68

This implies that

we simplify to get the value for x

subtracting 48 from both sides

Dividing through by 5

Hence George is 4yrs old,Alex is 16 yrs old and Carl is 48 yrs old.

Therefore the ratio of George’s age to Carl’s age to Alex’s age is 4:48:16=1:12:4

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4