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Mathematics

Find the total savings of a boy who saves ₹ (4x - 6y), ₹ (6x + 2y), ₹ (4y - x) and ₹ (y - 2x) in four consecutive weeks.

Algebraic Expressions

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Answer

The total savings = ₹ (4x - 6y) + ₹ (6x + 2y) + ₹ (4y - x) + ₹ (y - 2x)

= 4x - 6y + 6x + 2y + 4y - x + y - 2x

Arrange the polynomial with like terms together and combine them.

= (4x + 6x - x - 2x) + (- 6y + 2y + 4y + y)

= 7x + y

Hence, the total saving is ₹ (7x + y).

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