Question

The height of a tower is five times the height of a certain building. If the tower is 52 metre taller than the building, then find the height of the tower.

Answer 1

Step-by-step explanation:

Let the Height of the Building be = x

Then Height of Tower = 5×x = 5x

It is given that Height of Tower is 52m taller than the Building. So their height difference is 52m.

5x-x = 52m , Now subtracting x from 5x

=> 4x = 52m , Dividing 52 by 4 to find value of x

=> x = 52/4 = 13m and x is the height of building

Height of Tower = 5x = 5×13m = 65m

So the Height of is 65m ...

Hope this helps you

Answer 2

$\sf\large\underline{Let:}$

• $\rm{The\: height\:of\: Tower=T}$
• $\rm{The\: height\:of\: Building=B}$

$\sf\large\underline{To\: Find:}$

• $\rm{The\: height\:of\:the\: Tower=?}$

$\sf\underline{Given\:in\:case\:(i):}$

$\tt{The\: height\:of\:T\:is\:5\:times\:of\:the\: height\:B}$

$\rm{\implies T=5B------(i)}$

$\sf\underline{Given\:in\:case\:(ii):}$

$\tt{The\: height\:of\:T\:is\:52m\: more\:than\:B}$

$\rm{\implies T=B+52-----(ii)}$

• Putting the value of T=5B in eq ii]

$\rm{\implies T=B+52}$

$\rm{\implies 5B=B+52}$

$\rm{\implies 5B-B=52}$

$\rm{\implies 4B=52}$

$\rm{\implies B=13m}$

$\sf\large{Hence,}$

$\rm{\implies Height\:_{tower}=5B}$

$\rm{\implies Height\:_{tower}=5\times\:13}$

$\rm{\implies Height\:_{tower}=65m}$

$\rm{\implies Height\:_{building}=B}$

$\rm{\implies Height\:_{building}=13m}$

$\sf\large\underline{Verification:}$

$\rm{\implies Height\:_{tower}=Height\:_{building}}$

$\rm{\implies T=B+52}$

$\rm{\implies 65=13+52}$

$\rm{\implies 65=65}$

$\rm{\implies T=5B}$

$\rm{\implies 65=5\times\:13}$

$\rm{\implies 65=65}$

$\sf\large\underline{Hence,\: Verified:}$