Question

the product of two number is 1576 and the quotient is 9 / 7 . let's find the numbers

Answer 1

Let x and y be the two numbers.
Then,
x × y = 1576
=> x = 1576/y ---------(i)
And,
x/y = 9/7
=> (1576/y)÷y = 9/7
$\frac{ \frac{1576}{y} }{y} = \frac{9}{7} \\ = > \frac{1576}{ {y}^{2} } = \frac{9}{7} \\ = > {y}^{2} = \frac{1576 \times 7}{9}$