Question

What number must be subtracted from each of the numbers 10, 12, 19, 24 to get the number which are in proportion? ​

Answer 1

ANSWER -:

So subtract 4 from each of the four

numbers 10, 12, 19 and 24 to make

them proportional.
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EXPLANATION-:

Let’s subtract x from each of the four

numbers . Then ,

= (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.

So subtract 4 from each of the four

numbers .

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