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