Question: Two numbers are in ratio of 8 to 3 and their difference is 65. Find the numbers.
Let the two numbers be x and y.
Then: x/y = 8/3 (implies x > y)
Also, x - y = 65
Sunstituting for x = 65 + y into the 1st equation,
(65+y)/y = 8/3 --- now cross-multiply
3(65 + y) = 8y
195 + 3y = 8y
195 = 5y
39 = y
y = 39
x = 65 + y = 65 + 39 = 104
x = 104
The two numbers are: 104 and 39