The sum of two numbers is the same as four times the smaller number. if twice the larger is decreased by the smaller, the result is 30. find the numbers.

bigger number is 18

smaller number is 6

Step-by-step explanation:

let x be the bigger number and y the smaller

the sum of two numbers is the same as four times the smaller

x+y=4y

x=4y-y

x=3yi

if twice the larger is decreased by the smaller, the result is 30

2x-y=30ii

substituting i for x in ii

2(3y)-y=30

6y-y=30

therefore

5y=30

y=30/5

y=6iii

substituting iii for y in i to solve for x gives

x=3*6

=18

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!