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Let the two numbers be X and Y
Given:
X*Y=75 ==> Y=75/X
X+Y=28
==> X+(75/X)=28
==> X2+75=28X
==> X2-28X+75=0
==> X2-3X-25X+75=0
==> X(X-3)-25(X-3)=0
==> (X-3)(X-25)=0
==> X1-3=0 or X2-25=0
==> X1=3 or X2=25
substitute X1=3 in X+Y=28
3+Y1=28
==>Y1=25
==>Y1=X2
hence the two numbers are 3 and 25
21/28 = 3/4 = 75%
1, 3, 5, 15, 25, 75 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Late Show with David Letterman - 1993 20-75 was released on: USA: 28 January 2013
The LCM of both numbers is 28
The factors of 75 are: 1, 3, 5, 15, 25, and 75.The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.The only factor common to 56 and 75 is ' 1 ', so it's also the greatest.