Question

Find the height of the table by using simultaneous equations (Algebra)

Answer 1

Dear Student:

We got height of table (y)=150cm.

See the attachment.

We assume,

Height of cat = x cm.

Height of table = y cm.

Height of turtle = z cm.

See the attachment.

Answer 2

Considering the figures,

Inferences from the first picture:

Height of the table + cat - tortoise = 170

Inferences from the second picture:

Height of the table - cat + tortoise = 130  

Let us consider the height of the table, cat and tortoise to be x, y and z respectively.

Hence we get,

x+y-z=170  

x-y+z=130

Equating both the equations:

By addition,

x+y-z=170  

x-y+z=130

We get,

Height of two tables = 170 + 130

Height of two tables  = 300 cm

Therefore,

Height of one Table = 300 ÷ 2  = 150 cm

Hence, the height of the table is 150 cm.

The height of the cat and the tortoise cannot be determined with the data available.

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