Find the value of a, if 10a = (11 x 11) - (9 x 9).

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Solution

(11 x 11) - (9 x 9)
$= 11^{2} - 9^{2} = (11 + 9) \times (11 - 9) = 20 \times 2 = 40 = 10 \times 4$
So, value of 'a' is 4.

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