Question
The sum of two numbers is 801. When the larger number is
divided by the smaller one, it results in a quotient of 41 with a remainder of 3. What is the difference between the two numbers?Solution
Let, the larger number and smaller number be 'x' and 'y', respectively.
x + y = 801 ....(i)
x = y X 41 + 3
Or, x = 41y + 3 ....(ii)
Put the value of 'x' in equation (i) , we get,
41y + 3 + y = 801
Or, 42y = 798
Or, y = 19
Put the value of 'y' in equation (i) , we get,
x + 19 = 801
Or, x = 782
Required difference = 782 - 19 = 763
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