Question

If the same number be added to the number 5, 11, 15, and 31 then the resultant numbers are in proportion. Find the number.

Answer 1

Answer:

Let The number be x

11+x

5+x

=

31+x

15+x

⇒155+x

2

+36x=165+x

2

+26x

10x=10

x=1

∴ Numbers are 5+1=6, 11+1=12

15+1=16, 31+1=32.

Answer 2

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Answer

Let The number be x

11+x

5+x

=

31+x

15+x

⇒155+x

2

+36x=165+x

2

+26x

10x=10

x=1

∴ Numbers are 5+1=6, 11+1=12

15+1=16, 31+1=32.