The product of two numbers is 1575 and their quotient is . Find the nu

1.	The product of two numbers is 1575 and their quotient is . Find the numbers.(A) 21, 7536B)35, 45(C) 63, 25(D) 105, 15
Answer» So xy = 1575 and x/y = 9/7 So x = 9y/7 and thus (9y/7)y = 1575 ---> y^2 = (7/9)*1575 = 1225 ---> y = +/- 35. If y = 35, then x = 1575/35 = 45 If y = -35, then x = -45. So there are two solution sets, namely {45, 35} and {-45, -35) I want it with single variable

The product of two numbers is 1575 and their quotient is . Find the numbers.(A) 21, 7536B)35, 45(C) 63, 25(D) 105, 15

Answer»

So x*y = 1575 and x/y = 9/7

So x = 9y/7 and thus

(9y/7)*y = 1575 ---> y^2 = (7/9)*1575

= 1225 ---> y = +/- 35.

If y = 35, then x = 1575/35 = 45

If y = -35, then x = -45.

So there are two solution sets, namely {45, 35} and {-45, -35)

I want it with single variable