Find the Height of Table
Find the height of the table based on above Image.
Fun Fact :
This is Homework in China for elementary school students
Fun Fact :
This is Homework in China for elementary school students
Solution:
Answer: 150
Explanation:
Let the Height of Monkey be M
Height of Rabbit be R
Height of table be T
We can make two equation from the Image.
M + T - R = 170 ..........eq(1)
R + T - M = 130 ..........eq(2)
Adding both the equations
T + T = 170 + 130
2T = 300
T = 150
Height of table is 150.
Can we find the height of Monkey and Rabbit?
Substitute the height of table in eq(1) and eq(2)
M + 150 - R = 170
M - R = 20 ..........eq(3)
R + 150 - M = 130
R - M = -20
M - R = 20 ..........eq(4)
We end up with same equation i.e. M - R = 20.
Two variable and one equation => No Unique Answer
Therefore it's impossible to find unique height of Rabbit or Monkey.
Explanation:
Let the Height of Monkey be M
Height of Rabbit be R
Height of table be T
We can make two equation from the Image.
M + T - R = 170 ..........eq(1)
R + T - M = 130 ..........eq(2)
Adding both the equations
T + T = 170 + 130
2T = 300
T = 150
Height of table is 150.
Can we find the height of Monkey and Rabbit?
Substitute the height of table in eq(1) and eq(2)
M + 150 - R = 170
M - R = 20 ..........eq(3)
R + 150 - M = 130
R - M = -20
M - R = 20 ..........eq(4)
We end up with same equation i.e. M - R = 20.
Two variable and one equation => No Unique Answer
Therefore it's impossible to find unique height of Rabbit or Monkey.
