Question

(11b+30)+(11b+3)=143
​

Answer 1

Step-by-step explanation:

MATHS

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

11

35

and

13

42

if true then enter 1 and if false then enter 0

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ANSWER

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

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