math questions?

Question

The sum of an integer and three times the next cinsective integer is 51. Find the integers.
The sum of a number plus half of itself is 18.25, find the number.
The area of a triangle is 30 sq m. if the base is 15 meters, find the height od the triangle.

Answer 1

n+(3n+3)=51
4n+3=51
4n=48
n=12

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A=0.5base * height
30=0.5*15 *height
height= 4

Answer 2

Q1. The answer is 12, because 12 + 3 x 13 = 51

Q2. Are you that this is the question?

Q3. Since area = 1/2 x base x height, so height = 2 x area / base = 2 x 30 / 15 = 4m

Answer 3

let n be the integer, then the next consecutive integer is n+1

n + n + 1 = 51
2n = 50
n = 25
the integers are 25 and 26

n + 0.5 n = 18.25
1.5n = 18.25
n = 12.167

area = 1/2 * 15 * h = 30
h = 4

Answer 4

x+(x+1)*3 = 51
x+3x+3 = 51
4x = 48
x = 12

The integers are 12 and 13
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x + x/2 = 18.25
3x/2 = 18.25
3x = 36.5
x = 12.166666

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area = 1/2 len * h
30 m2 = 1/2 * 15 m * x m
60 m2 = 15 m * x m
4 m = x m

4 meters