Question

7.
Find two rational numbers with denominators 11 and 13, respectively such that their
7
sum is
143​

Answer 1

Step-by-step explanation:

Let the numbers be

11

x

and

13

y

Now,

11

x

+

13

y

=

143

7

=>

143

13x+11y

=

143

7

=>13x+11y=7

Now, both x and y should be integers as denominator should be 11 and 13

Now,

13x+11y=7

=>y=

11

7−13x

By, hit and trial, we find x=9 will give y=−10 and there can be many other solutions.

Therefore, the rational numbers are

11

9

and

13

−10