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Question

If a and b are rational numbers, find 'a' and 'b' when

727+2=a7+b


A

a=43, b=113

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B

a=43, b=113

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C

a=43, b=113

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D

a=43, b=113

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Solution

The correct option is B

a=43, b=113


727+2=a7+b

727+2×7272=a7+b

(72)2(7)2(2)2=a7+b

The numerator is of the form (ab)2 and the denominator is of the form a2b2

(7)22(7)(2)+(2)274=a7+b

747+43=a7+b

437+113=a7+b

Comparing we get,a=43, b=113


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