Question
The difference between two numbers is 3820. When a
larger number is divided by a smaller number, the quotient and remainder are 32 and 7 respectively. Find the bigger number.Solution
Difference between two numbers = 3820 Let the big number = x + 3820 The smaller number = x According to the question, from the quotient theorem- Dividend = divisor × quotient + remainder 32x+7=x+3820 31x3813 x = 123 Hence, bigger number = 123 + 3820 =3943
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