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

by yatin678 24.05.2015

their quotient means?

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by yatin678 24.05.2015

their quotient means?

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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 )

⇒ 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 ,

Now let us find the other number -

x = 1575 / y

x = 1575/35

x = 45.

⇒

Therefore, the two numbers are -

⇒ ( 35 , 45 )

⇒ ( - 35 , - 45 )

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).

(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).