Question

Difference between two numbers is 6 and difference between their squares is 180 then what is the sum of that two numbers

Answer 1

let the numbers are 

1) x 
2) x + 6 

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Now,

ATQ,

⇒$(x + 6)^2 - x^2 = 180$

⇒$x^2 + 6^2 + 12x -x^2 = 180$

⇒$36 + 12x = 180$

⇒12x  = 180  - 36 

⇒2x = 144 

⇒x = 144/12 

⇒x = 12 

Now,

Numbers are,
x = 12 
x + 6 = 18 

Sum of 12 and 18 

 ⇒12 + 18 

 ⇒30

i hope this will help you


-by ABHAY