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The Sum of cubes of two consecutive positive numbers is 189, and the product of the numbers is 20, find the numbers.
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first we take two consecutive positive number x & (x+1)
then... according to question
the first equation is...
x^3 + (x+1)^3 =189
and second equation is....
x(x+1)= 20
x^2 + x -20=0
(x+5)(x-4)=0
x= -5
x= 4
but number is positive then we take the value of x is 4..
now x = 4
and (x + 1) = 5
4^3 + 5^3 = 189
and 4*5= 20
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