Question

what number must be subtracted from each 9 11 15 and 19 so that the difference will be in proportion​

Answer 1

Answer:

answer is 3

Step-by-step explanation:

9-x : 11-x::15-x : 19-x

9-x *19-x= 11-x *15-x

171-19x+x square-9x=-11x+165-15x+x square

171-28x= -26x+165

2x=6

x=3

Answer 2

The difference will be in proportion​ 3.

Step-by-step explanation:

To find : What number must be subtracted from each 9, 11, 15 and 19 so that the difference will be in proportion​ ?

Solution :

Let the number be 'x'.

Number must be subtracted from each 9, 11, 15 and 19 so that the difference will be in proportion​

i.e. $9-x : 11-x::15-x : 19-x$

So, $\frac{9-x}{11-x} =\frac{15-x}{19-x}$

Cross multiply,

$(9-x)(19-x)=(15-x)(11-x)$

$171-19x+x^2-9x=-11x+165-15x+x^2$

$171-28x=-26x+165$

$2x=6$

$x=3$

The difference will be in proportion​ 3.

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