# The product of two numbers is 1575 and their quotient is 9/7 find the number

2
by yatin678
their quotient means?

2015-05-24T17:53:09+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Given ;-

⇒ Product of two numbers = 1572

⇒Quotient of the number = 9 / 7

TO FIND ;-

⇒ What is the number = ?

SOL ;-

⇒ It is given that product of two number is 1575,

⇒  so let us take the first number as x and the second number as y

⇒Therefore we get as =  x × y = 1575

Similarly it is also given that , their  quotient is 9 / 7

⇒ so we get as ,  x / y =  9 / 7.

(  or )

x =  9 y / 7

-------------------------------------------------------------------------------------------

⇒ Now , let us find the solution -

⇒  ( 9 y / 7 )  × y     =   1575

y²            =  ( 7 / 9 ) × 1575

⇒           y²             =    1225

⇒           y              =     √1225

⇒          y              =     35

so , y = + / - 35 because we don''t know whether it is positive or negative

Now let us find the other number -

x = 1575 / y

x = 1575/35

x = 45.

Therefore the another number is + / - 45

Therefore, the two numbers are -

⇒ ( 35 , 45 )

⇒ ( - 35 , - 45 )

2015-05-24T20:20:57+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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).