Question

What number should be added to each of the number 94, 24, 100 and 26, so that the resulting number are in continued proportion?

Answer 1

Answer:

Step-by-step explanation:

let x be added to each number then all the 4 numbers will be in proportion

therefore , 94+x , 24+x , 100+x , 26+x are now in proportion

using proportionality ,  

94+x / 24+x = 100+x / 26+x

(94+x)(100+x) = (24+x)(26+x)

9400 + 94x + 100x + x² = 624 + 24x + 26x + x²

9400 + 194x = 624 + 50x

9400 - 624 = 50x - 194x

8776 = -144x

x = 8776/-144

Answer 2

Answer:

11

Step-by-step explanation:

let x be added to each number then all the 4 numbers will be in proportion

therefore , 94+x , 24+x , 100+x , 26+x are now in proportion

using proportionality ,  

(94+x) / (24+x) = (100+x) / (26+x)

(94+x)(26+x)=(100+x)(24+x)

2444+120x+x²=2400+124x+x²

44=4x

therefore x=11

in the end put thanks and votes