Question

The sum of two numbers is 45 and the mean proportional between them is 18. the numbers are.​

Answer 1

Answer:

ans is 15

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Answer 2

Answer:

Step-by-step explanation:

The number are 36 & 9 (36,9)

Let number be x and y

Given

x + y=45

y=45−x ----------------------------------> (eq. 1)

&

√(x*y)=18

x*y=18^2

x*y = 324

x*y = 324

substituting value of y from equation 1

x(45−x)=324

45x-x^2=324

x^2−45x+324=0

x^2−36x −9x+324=0

x(x−36) −9(x−36)=0

(x−36)(x −9)=0

(x−36)=0 or (x-9)=0

x= 36 or x= 9

when x= 36

then y= 45−x

45−36

y=9

When x= 9

then y=45−x

45−9

y=36

Numbers are 36 & 9

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