find the cubes of odd integers 48
Answers
Answer:
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Step-by-step explanation:
Explanation:
You can think of two consecutive odd integers as being value
x
and
x
+
2
.
x
is the smaller of the two, and
x
+
2
is 2 more than it (1 more than it would be even). We can now use that in an algebra equation:
(
x
)
+
(
x
+
2
)
=
48
Consolidate left side:
2
x
+
2
=
48
Subtract 2 from both sides:
2
x
=
46
Divide both sides by 2:
x
=
23
Now, knowing that the smaller number was
x
and
x
=
23
, we can plug
23
into
x
+
2
and get
25
.
Another way to solve this requires a bit of intuition. If we divide
48
by
2
we get
24
, which is even. But if we subtract
1
from it, and add
1
as well, we can get the two odd numbers that are next to it.