Find the quotient when 94 - 49 is divided by

(i) 9 (ii) 5

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Solution

Difference of 94 and 49 is to be divided by

(i) 9 (ii) 5

$L e t a b = 94 a n d b a = 49 ∴ a = 9 a n d b = 4 (i) The quotient of 94 - 49 i . e (a b - b a) when divided by 9 is (a - b) i . e . 9 - 4 = 5 (∵ \frac{a b - b a}{9} = a - b) (i i) The quotient of 94 - 49 i . e . (a b - b a) when divided by 5 i.e (a - b) i s 9 (∵ \frac{a b - b a}{a - b} = 9)$

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