Question

the difference of two numbers is 50. if the smaller number is divided by the greater number the fraction obtained is 3/8. find the number

Answer 1

a - b = 50 
b / a = 3/8 
b = 3a/8 
a - 3a/8 = 50 
8a/8 - 3a/8 = 50 
5a/8 = 50 
5a = 400 
a = 400/5 = 80 
b = 80 - 50 = 30

Answer 2

Difference of two numbers is 50.
Let the numbers be x and y.
Therefore,
y-x =50
Therefore, y= x+50
x/y =3/8
x= 3y/8 
Therefore,
y-3y/8 =50
8y-3y/8= 50
5y = 400
Therefore,
y=80.
Therefore, x= y-50=30. Therefore, 
the numbers are,
80 and 30.
The greatest number is 80,and
the smallest number is 30.