1.

The sum of two numbers is 84.The first is 9 morve than 4 times the second

Answer»

Answer:

Required numbers are 15 and 69.


Step-by-step explanation:

Let the required two numbers are X and y.

GIVEN that the sum of both the numbers  is 84.

So, x + y =84         ...( i )


According to the question : -

First number is 9 more than 4 times of the second number.

So, x = 9 + ( 4 times of y )

⇒ x = 9 + ( 4 x y )

⇒ x = 9 + 4Y


Now, numbers are 9 + 4y and y.


Substitute the value of 9 + 4y in ( i )

⇒ 9 + 4y + y = 84

⇒ 9 + 5y = 84

⇒ 5y = 84 - 9

⇒ 5y = 75

⇒ y = 75 / 5

⇒ y = 15


Therefore,

Numbers are y = 15 and 9 + 4y ⇒ 9 + 4( 15 ) ⇒ 9 + 60 ⇒ 69.



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