The product of two positive numbers is 11520 and their quotient is 9/5. find the difference of two numbers
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let the numbers be x and y
therefore, xy=11520
and x/y=9/5
therfore xy×x/y = 11520×9/5
=> x² = 2304×9
=> x =
.
=> 48 × 3 = 144
from x/y = 9/5 we have
y =
.
= 80
therefore, required difference
= 144 - 80 = 64
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