Question

Please solve this problem of maths​

Answer 1

Answer:

$\frac{x + 2}{2} + \frac{x + 4}{3} = \frac{x + 6}{4} + \frac{x + 8}{5}$

$\frac{x + 2}{2} + \frac{x + 4}{3 } = \frac{3(x + 2) + 2(x + 4)}{6}$

$= \frac{3x + 6 + 2x + 8}{6} = \frac{5x + 14}{6}$

now

$\frac{x + 6}{4} + \frac{x + 8}{5} = \frac{5(x + 6) + 4(x + 8)}{20}$

$= \frac{5x + 30 + 4x + 32}{20} = \frac{9x + 62}{20}$

equate both

$\frac{5x + 14}{6} = \frac{9x + 62}{20}$

$20(5x + 14) = 6(9x + 62) \\ 100x + 280 = 54x + 372 \\ 46x = 92 \\ x = 2$

mark brainliest