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
