QuestionA tower is three times the height of a building and is 50 m taller. Find the height of the tower.

Studdy Solution

STEP 1

Assumptions1. The height of the tower is three times the height of the building. . The tower is50m taller than the building.

STEP 2

Let's denote the height of the building as $x$ . According to the problem, the height of the tower is three times the height of the building, so we can denote the height of the tower as $x$ .

STEP 3

The problem also states that the tower is50m taller than the building. We can write this as an equation $3x = x +50$

STEP 4

Now, we can solve this equation for $x$ . Start by subtracting $x$ from both sides of the equation to isolate $2x$ on one side $2x =50$

STEP 5

Next, divide both sides of the equation by2 to solve for $x$ $x = \frac{50}{2}$

STEP 6

Calculate the value of $x$ $x = \frac{50}{2} =25$ So, the height of the building is25m.

STEP 7

Now, we can find the height of the tower by multiplying the height of the building by3 $Height\, of\, the\, tower =3 \times Height\, of\, the\, building$

STEP 8

Plug in the value for the height of the building to calculate the height of the tower $Height\, of\, the\, tower =3 \times25$

STEP 9

Calculate the height of the tower $Height\, of\, the\, tower =3 \times25 =75$ So, the height of the tower is75m.

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QuestionA tower is three times the height of a building and is 50 m taller. Find the height of the tower.

Studdy Solution

STEP 1

Assumptions1. The height of the tower is three times the height of the building. . The tower is50m taller than the building.

STEP 2

Let's denote the height of the building as $x$ . According to the problem, the height of the tower is three times the height of the building, so we can denote the height of the tower as $x$ .

STEP 3

The problem also states that the tower is50m taller than the building. We can write this as an equation $3x = x +50$

STEP 4

Now, we can solve this equation for $x$ . Start by subtracting $x$ from both sides of the equation to isolate $2x$ on one side $2x =50$

STEP 5

Next, divide both sides of the equation by2 to solve for $x$ $x = \frac{50}{2}$

STEP 6

Calculate the value of $x$ $x = \frac{50}{2} =25$ So, the height of the building is25m.

STEP 7

Now, we can find the height of the tower by multiplying the height of the building by3 $Height\, of\, the\, tower =3 \times Height\, of\, the\, building$

STEP 8

Plug in the value for the height of the building to calculate the height of the tower $Height\, of\, the\, tower =3 \times25$

STEP 9

Calculate the height of the tower $Height\, of\, the\, tower =3 \times25 =75$ So, the height of the tower is75m.

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QuestionA tower is three times the height of a building and is 50 m taller. Find the height of the tower.

Studdy Solution

STEP 1

Assumptions1. The height of the tower is three times the height of the building. . The tower is50m taller than the building.

STEP 2

Let's denote the height of the building as xxx. According to the problem, the height of the tower is three times the height of the building, so we can denote the height of the tower as xxx.

STEP 3

The problem also states that the tower is50m taller than the building. We can write this as an equation3x=x+503x = x +503x=x+50

STEP 4

Now, we can solve this equation for xxx. Start by subtracting xxx from both sides of the equation to isolate 2x2x2x on one side2x=502x =502x=50

STEP 5

Next, divide both sides of the equation by2 to solve for xxxx=502x = \frac{50}{2}x=250​

STEP 6

Calculate the value of xxxx=502=25x = \frac{50}{2} =25x=250​=25So, the height of the building is25m.

STEP 7

Now, we can find the height of the tower by multiplying the height of the building by3Height of the tower=3×Height of the buildingHeight\, of\, the\, tower =3 \times Height\, of\, the\, buildingHeightofthetower=3×Heightofthebuilding

STEP 8

Plug in the value for the height of the building to calculate the height of the towerHeight of the tower=3×25Height\, of\, the\, tower =3 \times25Heightofthetower=3×25

STEP 9

Calculate the height of the towerHeight of the tower=3×25=75Height\, of\, the\, tower =3 \times25 =75Heightofthetower=3×25=75So, the height of the tower is75m.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Let's denote the height of the building as $x$ . According to the problem, the height of the tower is three times the height of the building, so we can denote the height of the tower as $x$ .

The problem also states that the tower is50m taller than the building. We can write this as an equation $3x = x +50$

Now, we can solve this equation for $x$ . Start by subtracting $x$ from both sides of the equation to isolate $2x$ on one side $2x =50$

Next, divide both sides of the equation by2 to solve for $x$ $x = \frac{50}{2}$

Calculate the value of $x$ $x = \frac{50}{2} =25$ So, the height of the building is25m.

Now, we can find the height of the tower by multiplying the height of the building by3 $Height\, of\, the\, tower =3 \times Height\, of\, the\, building$

Plug in the value for the height of the building to calculate the height of the tower $Height\, of\, the\, tower =3 \times25$

Calculate the height of the tower $Height\, of\, the\, tower =3 \times25 =75$ So, the height of the tower is75m.