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Question

If 5a+2b5a2b=53, then find the value of a : b.

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Solution

5a+2b5a2b=53

5a+2b+5a2b5a+2b5a+2b=5+353 [Applying componendo and dividendo]

10a4b=82

2(5a)2(2b)=82

ab=85

a : b = 8 : 5


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