The product of two positive number is 243/25. IF one of them is three times the other. Find the other?

Solution: let first number is y
                2nd number is 3y
                according to the condition of question

we have

           y x 3y = 243/25
         
we know that 

3y2= 243/25

y2= 243/(25x3)

y2= (81x3)/(25x3)               As 243=81x3


simplify by cancel 3 we get


y2=  81/25



Now taking square root on both sides we get

So y will be :

y=(81/25)1/2


y=9/5 and y=-9/5



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