Find the quotient when 73 - 37 is divided by

(i) 9 (ii) 4

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Solution

Difference of 73 - 37 is to be divided by

(i) 9 (ii) 4

$L e t a b = 73 a n d b a = 37 ∴ a = 7 a n d b = 3 (i) The quotient of 73 - 37 (i . e . a b - b c) when divided by 7 is a - b i . e . 7 - 3 = 4 (∵ \frac{a b - b a}{9} = a - b) (i i) The quotient of 73 - 37 (i . e . a b - b a) when divided b y 4 i . e . (a - b) i s 9 (∵ \frac{a b - b a}{a - b} = 9)$

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