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Byju's Answer
Standard XII
Mathematics
Proof by mathematical induction
Find the two ...
Question
Find the two consecutive natural numbers whose product is 20.
A
5 and 3
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B
6 and 7
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C
3 and 4
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D
4 and 5
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Solution
The correct option is
D
4 and 5
Let the two consecutive natural numbers be
x
and
x
+
1
.
Then,
x
(
x
+
1
)
=
20
x
2
+
x
−
20
=
0
x
2
+
5
x
−
4
x
−
20
=
0
x
(
x
+
5
)
−
4
(
x
+
5
)
=
0
(
x
+
5
)
(
x
−
4
)
=
0
x
=
4
Hence, the required numbers are
4
and
5
.
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Find two consecutive natural numbers whose product is 20.