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Question
The given figure represents a weighing balance. The weights of some objects in the balance are given. Find the weight of each square and the circle.

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Solution
From the weighing balance, we have
= ∗ + 
⇒
= 4 +
...(i)
And
+
=
+ I +
+
+ ∗
⇒ 20 + 20 = 2
+ 14 +
+ 4
⇒ 40 = 2
+ 18 + 4 +
...(Using (i))
⇒ 40 = 3
+ 22
⇒ 3
= 40 – 22
⇒ 3
= 18
⇒
= 6 kg
From equation (i),
= (4 + 6) kg = 10 kg
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