algebra.....

\hspace{-16}$If\; $\mathbf{\frac{\alpha+\beta}{2\alpha+\gamma}=\frac{\beta+\gamma}{2\beta+\alpha}=\frac{\gamma+\alpha}{2\gamma+\beta}}$\\\\\\ Then $\mathbf{\frac{2\alpha+3\beta+5\gamma}{7\alpha+11\beta+13\gamma}=}$

9 Answers

262
Aditya Bhutra ·

we can easily say alpha=beta=gamma ≠0

hence the answer will be 10/31

71
Vivek @ Born this Way ·

How?

1
Saumil Sachdeva ·

Take alpha=beta=gamma=1 ...Put and get.....!

11
Sambit Senapati ·

I think because these are symmetric equations.

262
Aditya Bhutra ·

if you want to prove it then you can use -
xa + yb + zc = x+y+za+b+c

or as sambit said, the equations are symmetric

1708
man111 singh ·

Yes friends answer=10/31

36
rahul ·

@Aditya - x/a + y/b + z/c ≠(x + y + z)/(a + b + c)

instead, x/a = y/b = z/c = (x + y + z)/(a + b + c)

1
fahadnasir nasir ·

in this style of questions, put the equality
the answer is 10/31

262
Aditya Bhutra ·

sorry, yes rahul u r correct . silly typo.

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