if three times the greater of two numbers is divided by the lesser then the quotient is 6 and the remainder is 2. the greater number is y and the smaller number is x then the equation formed is
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Let the larger number be and the smaller one be . We know that Dividend (Divisor Quotient) Remainder. (i) When is divided by , we get as quotient and as remainder. Therefore, by using (i), we get (ii) When is divided by , we get as quotient and as remainder. Therefore, by using (i), we get .(iii) Solving equations (ii) and (iii), by cross-multiplication, we get and Hence, the required numbers are and .
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