if x a and b are positive integers such as xa = 25, then ax equals
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Answer:
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Answered by
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Answer:
a−x
,
x
and
x+a
are in A.P
⇒2
x
=
x+a
+
a−x
.....(1)
⇒2
x
=
(
x+a
−
a−x
)
(
x+a
+
a−x
)(
x+a
−
a−x
)
⇒2
x
=
a+x
−
a−x
2x
⟹
a+x
−
a−x
=
x
.....(2)
Adding equation (1) and (2) we get
⟹3
x
=2
a+x
⟹a=
4
5x
Now using the condition that both 'a' and 'x' are positive integers, the least possible value of a=5.
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