Ashifur August 8, 2023 - 14:57
Problem: If $\frac{x+2y}{a+3b}=\frac{y+3x}{a+4b}$ ,then prove that the $\frac{x}{x}=\frac{a+5b}{2a+5b}$

View all: BANK ASIA LTD | WRITTEN QUESTION SOLVE(MATH) | 2005

Correct Answer: See explanation

Explanation:

$\frac{x+2y}{a+3b}=\frac{y+3x}{a+4b}$

=>(x+2y) (a+4b)=(y+3x) (a+3b)

=>ax+4bx+20y+8by=ay+3by+3ax+9bx

=>2ax+5bx=ay+5by

=>x(20+ 5b) =y(a+ 5b)

$\frac{x}{x}=\frac{a+5b}{2a+5b}$

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