The product of two numbers is 1575, and their qunotient is 9 by 7 . find the numbers
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Step-by-step explanation:
Given,
Product of two numbers = 1572
Quotient of the number = 9 / 7
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.
⇒ 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
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