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Answer to Q112

What is the height of the table (see above picture)

There are 3 element here, the table, the cat and the tortoise. So let
i. height of table = A
ii. height of cat = B
iii. height of tortoise = C

From the picture, we can say;
A + B - C = 34 (eqn 1)
A + C - B = 26 (eqn 2)

so we have three unknows but just two equations, no problem since all we have to do is solve for A

from eqn 1, we can say;
B = 34 - A + C (eqn 3)

put eqn 3 into eqn 2
A + C - (34 - A + C) = 26
A + C - 34 + A - C = 26
2A - 34 = 26
2A = 26 + 34
2A = 60
A = 30

so, height of table is 30 inches

Answer: 30

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825 viewsDec 14, 2020 at 12:30

Answer to Q112

What is the height of the table (see above picture)

There are 3 element here, the table, the cat and the tortoise. So let
i. height of table = A
ii. height of cat = B
iii. height of tortoise = C

From the picture, we can say;
A + B - C = 34 (eqn 1)
A + C - B = 26 (eqn 2)

so we have three unknows but just two equations, no problem since all we have to do is solve for A

from eqn 1, we can say;
B = 34 - A + C (eqn 3)

put eqn 3 into eqn 2
A + C - (34 - A + C) = 26
A + C - 34 + A - C = 26
2A - 34 = 26
2A = 26 + 34
2A = 60
A = 30

so, height of table is 30 inches

Answer: 30

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