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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. - Mathematics

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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.

Numerical

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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Chapter 4: Simple Equations - Exercise [Page 116]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 4 Simple Equations
Exercise | Q 107. | Page 116

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