Question

what is the hieght of the table​

Answer 1

${\boxed{\mathtt{\green{Answer}}}}$

Height of the table is 150 cm .

${\boxed{\mathtt{\green{Solution}}}}$

We are given two images .

From 1st image :-

Length between Cat and turtle = 170 cm

It implies that :-

${ \boxed{ \mathtt{ \red{Cat \: + table \: - turtle \: = \: 170}}}}$

From 2nd image :-

Length between Turtle and cat = 130 cm

It implies that:-

${ \boxed{ \mathtt{ \red{turtle \: + \: table \: - \: cat \: = \: 130}}}}$

Now adding these two equations , we got

Cat + Table - Turtle + Turtle+ Table - Cat = 130 + 170

2 Table = 300

Table = 300/ 2

Table = 150 cm

${ \boxed {\mathtt{ \green{ \: = \: 150 \: cm \: is \: the \: answer}}}}$

Answer 2

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❏ Question:-

Fig :- refer to the questioner attachment ,

Find the height of the table ,

❏ Solution:-

Let, the height of the table is = X cm.

and the height of the cat is = a cm.

and the height of the turtle is = b cm.

Now , First condition

$\longrightarrow ( table - turtle)+cat=170\:cm$

$\longrightarrow ( X - b)+a=170\:cm$

$\longrightarrow\boxed{( a-b)=(170-X)\:cm}$ ------------(i)

Now , Second condition

$\longrightarrow ( table - cat)+ turtle=130\:cm$

$\longrightarrow ( X - a)+b=130\:cm$

$\longrightarrow X =[130+(a-b)]\:cm$

$\longrightarrow X =[130+170-X]\:cm$

$\longrightarrow X +X=300\:cm$

$\longrightarrow 2X=300\:cm$

$\longrightarrow X=\dfrac{\cancel{300}}{\cancel2}\:cm$

$\longrightarrow\boxed{X=150\:cm}$

∴ The height of the table is = 150 cm.

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