The product of two numbers is 1575 and their quotient is
7/9 . Find the numbers.
Answers
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Step-by-step explanation:
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 )
Answer:
x= 35
y = 45
Step-by-step explanation:
x*y = 1575
= x = 1575/ y
x/y = 7/9
= 1575 /y * 1/y
=1575/y^2 = 7/9
= 1575 = 7/9 y^2
=1575 /7/9 = y^2
=2025 = y^2
=45 = y
Therefore ,x= 1575/45 = 35
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