Answer:
25
Step-by-step explanation:
Let n = the larger number.
If the smaller number is 20, then the ratio of the two numbers, n and 20, can be expressed as 20:n or 20/n, but we're given that the ratio of the two numbers is also 4:5 or 4/5; therefore, we can set up the following proportion to be solved for n:
4/5 = 20/n
Cross-multiplying, we get:
4n = 20(5)
4n = 100
(4n)/4 = 100/4
(4/4)n = 100/4
(1)n = 25
n = 25
CHECK:
20/n = 20/25
= 4/5 reduced to lowest terms
Therefore, n = 25 is indeed the larger number.
