Question

Find two raitional number with denominator 11 and 13 respectively such that their sum is 7/143​

Answer 1

Answer:

Two rational numbers with denominators 11 and 13, respectively such that their sum is 7/143 is

−

35

11

and

42

13

if true then enter

1

and if false then enter

0

Solution

Let the numbers be

x

11

and

y

13

Now,

x

11

+

y

13

=

7

143

=>

13

x

+

11

y

143

=

7

143

=>

13

x

+

11

y

=

7

Now, both

x

and

y

should be integers as denominator should be

11

and

13

Now,

13

x

+

11

y

=

7

=>

y

=

7

−

13

x

11

By, hit and trial, we find

x

=

9

will give

y

=

−

10

and there can be many other solutions.

Therefore, the rational numbers are

9

11

and

−

10

13