One number is two more than triple a second number. Their sum is 30. what is the smaller number

7

Step-by-step explanation:

We can solve this problem by making an equation.

Let x represent the second number

3x + 2 will be the first number because it is 2 more than triple x

This makes our equation:

3x + 2 + x = 30

Combine like terms

4x + 2 = 30

Subtract 2 from both sides

4x = 28

Divide both sides by 4

x = 7

The smaller number aka the second number is 7

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3