Question

If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number
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Answer 1

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$\sf {\colorbox{black}{\color{white}{~~Given:~~}}}$

→ If the same number be added to the numberd 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number

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$\sf {\colorbox{black}{\color{white}{~~Solution:~~}}}$

• → Let The Number Be x

$\bf \: \frac{5 \: + \: x}{11 \: + \: x} = \frac{15 \: + \: x}{31 \: + \: x}$

$\boxed{\bf{ \implies115 + x ^{2} + 36x = 165 + {x}^{2} + 26x {}}}$

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➢ 10x = 10

➢ X = 1

∴ Numbers Are:-

• 5+1=6

• 11+1=12

• 15+1=16

• 31+1=32.

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Answer 2

Answer:

32

Step-by-step explanation:

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

Plz mark brainliest