What's the height of the table (25 points for answering)
Answers
From diagram 1:
Table + Cat - Tortoise = 170 cm ----------------- [ 1 ]
From diagram 2:
Table - Cat + Tortoise = 130 cm ----------------- [ 2 ]
Add the two equation [ 1 ] and [ 2 ] :
2 Tables = 300 cm
1 Table = 300 ÷ 2
1 Table = 150 cm
Answer: The table is 150 cm tall.
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 distance between the cat and the tortoise cannot be determined with the data available.
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