The quotient of 2 numbers is 20. Their sum is 84. What are the two numbers?

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