Question

There are two numbers with ratio 16:9 and 24 is a mean proportional between them.find the numbers​

Answer 1

Answer:

30.72 and 17.28

Step-by-step explanation:

the ratio is 16:9

let the numbers be 16x , 9x

(16x + 9x)÷ 2=24

25x = 48

x= 48/25

then the numbers are

16x =48/25×16=30.72

9x =48/25×9=17.28

Answer 2

The numbers are 18 and 32.

Step-by-step explanation:

Given : There are two numbers with ratio 16:9 and 24 is a mean proportional between them.

To find : The numbers ?

Solution :

Let the ratio be 'x'.

The two numbers are 16x and 9x.

24 is a mean proportional between them.

The mean proportion is multiple of 16x and 9x.

i.e. $M^2=16x\times 9x$

$(24)^2=144x^2$

$x^2=\frac{(24)^2}{(12)^2}$

$x=\frac{24}{12}$

$x=2$

$16x=16\times 2=32$

$9x=9\times 2=18$

The numbers are 18 and 32.

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