Answer:
x=36
y=6
Step-by-step explanation:
Let the numbers be x and y
Condition 1
x=6y ----------(1)
Condition 2
x-y=30 ------------(2)
Putting 1 in 2
6y-y=30
5y=30
Dividing both sides by 5
y=6
Now
Putting y=6 in 1
We get
x=6(6)
x=36
12:32 is simply 3:8 but divided by 4 to both sides.
<h2>
Answer:</h2>
The equation that is used to model the length of ladder in terms of x is:

<h2>
Step-by-step explanation:</h2>
We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.
where x is the distance between the top of the ladder and the ground.
and (x-7) is the distance between the foot of the ladder and the wall.
Hence, using Pythagorean Theorem we have:

Hence, the answer is:
