Question

Find the number which when added to each of the numbers 1 , 5 , 6 and 15 makes the number in proportion

Answer 1

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Step-by-step explanation:

Let the number must be added be x, then the new number =6+x,15+x,20+x,43+x

∵ These are proportionals.

6+x:15+x::20+x:43+x

or (6+x)(43+x)=(15+x)(20+x)

or 258+6x+43x+x  

2

=300+20x+15x+x  

2

or 49x−35x=300−258

or 14x=42

or x=3.