Question

(1) If the same number be added to the numbers 2, 4, 14 and 22 then the resultant
numbers are in proportion. Find the number
​

Answer 1

Step-by-step explanation:

Let x be added to 5,9,17,27 to make them proportional

(5+x):(9+x)=(17+x):(27+x)

Product of mean=Product of extreme

(17+x)(9+x)=(5+x)(27+x)

153+17x+9x+x

2

=135+5x+27x+x

2

153+26x=135+32x

32x−26x=153−135

6x=18

x=3