The sum of two consecutive odd integers is 189. Find the integers.
Answers
Answered by
2
Answer:
What three consecutive integers have a sum of 189? Which means that the first number is 62, the second number is 62 + 1 and the third number is 62 + 2. Therefore, three consecutive integers that add up to 189 are 62, 63, and 64.
Answered by
0
Answer:
An odd number take the form:
2
k
+
1
Hence the next odd numbers must
2
k
+
3
and
2
k
+
5
Sum means to add together:
(
2
k
+
1
)
+
(
2
k
+
3
)
+
(
2
k
+
5
)
=
189
Colect like terms:
⇒
6
k
+
9
=
189
⇒
6
k
=
180
⇒
6
k
6
=
180
6
⇒
k
=
30
⇒
2
k
+
1
=
(
2
⋅
30
)
+
1
=
61
Hence the odd numbers are
61
,
63
,
65
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