Question

what number must be subtracted from each of the number 12,15,18 and 24so thatvthe difference proportion​

Answer 1

Answer:

Let us subtract x from each of the four numbers. Thus

(10-x):(12-x) = (19-x):(24-x), or

(10-x)(24-x) = (12-x)(19-x), or

240 - 34x + x^2 = 228 - 31x + x^2, or

34x - 31x = 240 - 228, or

3x = 12, or x = 4.

Check: (10-x):(12-x) = (19-x):(24-x)

LHS = (10–4):(12–4) = 6/8 = 3/4.

RHS = (19-x):(24-x) = (19–4):(24–4) = 15/20 = 3/4. Correct.

So subtract 4 from each of the four numbers : 10, 12, 19 and 24 to make them proportional.

Answer 2

Answer:

6

Explanation:

Let the no. to be subtracted be x

   acc. to the ques,

(12-x):(15-x)=(18-x):(24-x)

(12-x)/(15-x)=(18-x)/(24-x)

(15-x)*(18-x)=(12-x)*(24-x)

270-15x-18x+x=288-12x-24x+x

270-32x=288-35x

270-288=-35x+32x

-18=-3x

-18/-3=x

6=x

check:

12-6/15-6=18-6/24-6

6/9=12/18

2/3=2/3