If the sum of three consecutive natural
number is 54. The smallest number is........
12
O 15
O 17
O 19
Answers
Answered by
0
Answer:
17
Step-by-step explanation:
Let the first number be
n
then we have:
n
+
(
n
+
1
)
+
(
n
+
2
)
=
54
⇒
3
n
+
3
=
54
Subtract
3
from both sides
⇒
3
n
+
3
−
3
=
54
−
3
but +3-3=0
⇒
3
n
+
0
=
54
−
3
Notice that the 3 has changed sides and as a consequence we now have 3n on its own
⇒
3
n
=
54
−
3
Divide both sides by
3
to get n on its own
⇒
3
3
n
=
54
3
−
3
3
But
3
3
=
1
so
3
3
n
becomes just
n
⇒
n
=
51
3
=
17
So we have :
17
+
18
+
19
=
54
Answered by
2
Answer:
O. 17
Step-by-step explanation:
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