Question

the product of twopositive number is 9whole 18/25and one of them is three times the other find the numbers
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Answer 1

Answer:

Let's turn these phrases into mathematical equations. The first phrase, "the product of two positive (unknown) numbers is 9 18/25", translates to  x*y = 9 18/25. The second phrase, "one of them is three times the other", translates to

x  =  3*y.  Substituting the second equation into the first equation yields:  3*y*y  =  3*y^2  =  9 18/25. Dividing both sides of this equation yields  y^2  =  3 6/25  =  81/25. Taking the square root of both sides of this equation gives us  y  =  9/5  =  1 4/5.  Substituting this value back into the second equation yields  x  =  3 12/5  =  27/5  =  5 2/5.

or  

 9 18/25 = 243/25

 

x(3x) = 243/25

3x2 = 243/25

x2 = (243/25)(1/3) = 243/75 = 81/25

√(x2) =√(81/25)

x = 9/5 = 1 4/5

 

The larger number is 3(9/5) = 27/5 = 5 2/5.