# 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

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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

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.