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Question

If 8a5b8c5d=8a+5b8c+5d, then ab=cd


A

True

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B

False

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Solution

The correct option is A

True


Given, 8a5b8c5d=8a+5b8c+5d

8a5b8a+5b=8c5d8c+5d [Applying alternendo]

8a5b+8a+5b8a5b8a5b=8c5d+8c+5d8c5d8c5d [Applying componendo and dividendo]

16a10b=16c10d

ab=cd

Hence, the above statement is true.


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