Two numbers multiply 1575 numbers ratio is 9:7 find numbers addition
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Secondary SchoolMath 27+14 pts
The product of two numbers is 1575 and their quotient is 9/7 find the number
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Comments (1) Report by Yatin678 24.05.2015
chandana2000
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
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⇒ 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)
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