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Byju's Answer
Standard XII
Mathematics
Law of Reciprocal
In a set of t...
Question
In a set of three consecutive natural numbers, the sum of the last two numbers is equal to three times the first number. Find the sum of all the three numbers.
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Solution
Let the
3
consecutive numbers be
a
−
d
,
a
,
a
+
d
A/Q
⇒
3
(
a
−
d
)
=
a
+
a
+
a
d
3
a
−
3
d
=
2
a
+
d
⇒
a
=
4
d
∴
SUm of numbers is
a
−
d
+
a
+
a
+
d
=
3
a
=
3
×
4
d
=
12
d
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