Question

1. Find'a : b if (38+ b) : (a+b) = 9 : 5.​

Answer 1

Answer:

$a:b= \frac{190-4b}{9} :\frac{190-9a}{4}$  

Explanation:

The Given Mathematical Statement is:

     $(38+b):(a+b)=9:5$

Or, $\frac{(38+b)}{(a+b)} = \frac{9}{5}$

Or, $5*(38+b)=9*(a+b)$

Or, $190+5b=9a+9b$

Or, $9a+9b-5b=190$

Or, $9a+4b=190$

Or, $9a= 190-4b$

Or, $a=\frac{190-4b}{9}$

     $9a+4b=190$

Or, $4b= 190-9a$

Or, $b=\frac{190-9a}{4}$

 ∴  $a:b= \frac{190-4b}{9} :\frac{190-9a}{4}$      (Ans)

Hope you have understood the process...      

(IF you find the answer helpful, please make my answer as Brainliest.)

By- Md. Mominur Islam Mahim.

Answer 2

Answer:

a=38 and b=0;

or

a=0 and b=38;

Explanation:

for expansion see the pic that I have attached .

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