Question

When a number is subtracted from the number 8,12 and 20, the remainders are in continued proportion, Find the number ?

Answer 1

Answer

Explain

Let noBe (x) ex

8:12:20 =8:12:12::20(when there is three no. The middle one is became double

So, Proportion = 8-x:12-x::12-x:20-x

Product of extreme=product of means

(8-x)(20-x)=(12-x)(12-x)

160-8x-20x-x^2=144-x^2

-x^2 will be cut to -x^2

160-144= -8x-20x (transposing 144to

LHS)

16= 28x

x=16/28

x=4/7