Assume that the two numbers are m and n where m is greater than n.
We know that the quotient of the two numbers is 20. This means that: m / n = 20 m = 20 n ..............> equation I
We also know that the sum of the two numbers is 84. This means that: m + n = 84 .............> equation II
Substitute by equation I in equation II as follows: 20n + n = 84 21n = 84 n = 4
Substitute with the value of n in equation I to get m as follows: m = 20n m = 20*4 = 80
Based on the above calculations: The two numbers are 80 and 4
To find the two numbers, set up a system of equations using the given information and solve for the variables. In this case, the quotient of the two numbers is 20 and their sum is 84. Using the method of substitution, we can find that the two numbers are 80 and 4. ;
The two numbers are 80 and 4, where the quotient of 80 and 4 is 20, and their sum is 84.
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