Question

The product of two positive numbers is 14/15 & their
quotient is 35/24. Find the numbers.​

Answer 1

Answer:

Let the two fractions be a and b

Then,

ab=1415&ab=3524⇔ab(ab)=(1415×2435)⇔b2=1625⇔b=45So, ⇔ab=1415⇔a=(1415×54)⇔a=76

Since a > b,

So, greater fraction is 7/6

Answer 2

xy=14/15

x/y=35/24

xy. x/y=14/15.35/24

x^2=490/360

x^2=39/36

x=7/6

7/6/y=14/15

7y/6=14/15

105y=84

y=4/5