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Byju's Answer
Standard VII
Mathematics
Substitution
Let a, b, c, ...
Question
Let a, b, c, be positive integers less than 10 such that {(100a +10b+ c)}^2 = {(a + b + c)}^5, what is the value of (a x b- c)?
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Similar questions
Q.
Let
a
,
b
,
c
be positive integers such that
a
divides
b
5
,
b
divides
c
5
, and
c
divides
a
5
. Prove that
a
b
c
divides
(
a
+
b
+
c
)
31
.
Q.
If
a
,
b
and
c
are positive integers less then 10, then
(
10
a
+
b
)
(
10
a
+
c
)
equals
100
a
(
a
+
1
)
+
b
c
if;
Q.
Let
a
,
b
,
c
be positive integers such that a divides
b
2
, b divides
c
2
and c divides
a
2
. Prove that
a
b
c
divides
(
a
+
b
+
c
)
7
Q.
Let
a
,
b
,
c
be positive integers such that
b
a
is an integer. If
a
,
b
,
c
are in geometric progression and the arithmetic mean of
a
,
b
,
c
is
b
+
2
, then the value of
a
2
+
a
−
14
a
+
1
is ................
Q.
Let a, b, c be positive integers such that
b
a
is an integer. If a, b, c are in geometric progression and the arithmetic mean of a, b, c is b + 2, then the value of
a
2
+
a
−
14
a
+
1
is
___
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