#### Write a pair of fractions whose sum is $\frac{7}{11}$ and difference is $\frac{2}{11}$.

Let one fraction be x.
Another fraction =  $\frac{7}{11}-x$

According to the question

$x-\left(\frac{7}{11}-x\right)=\frac{2}{11}$

$x-\frac{7}{11}+x=\frac{2}{11}\\$

$2x-\frac{7}{11}=\frac{2}{11}\\$

LCM of 11,1 = 11

$\frac{22 x-7}{11}=\frac{2}{11}\\$

$22 x-7=2\\$

$22 x=2+7=9$

One fraction $x=\frac{9}{22}$

Another fraction = $\frac{7}{11}-x= \frac{7}{11}-\frac{9}{22}$

LCM of 11,22 = 22

$\\= \frac{7\times 2-9}{22}\\\\=\frac{5}{22}$