The sum of three consecutive multiples of 6
is 72. Find the multiples.
Answers
Answered by
0
Answer:
30
is the biggest multiple.
Explanation:
Let the smallest multiple of
6
be
6
x
The next multiple is
6
(
x
+
1
)
The biggest multiple is
6
(
x
+
2
)
The sum of these multiples is
72
6
x
+
6
(
x
+
1
)
+
6
(
x
+
2
)
=
72
6
x
+
6
x
+
6
+
6
x
+
12
=
72
18
x
+
18
=
72
18
x
=
72
−
18
=
54
x
=
3
The three multiples are
6
×
3
,
6
×
4
and
6
×
5
6
×
5
=
30
is the biggest
Check:
18
+
24
+
30
=
72
Answered by
11
Answer:
Let the smallest multiple of 6 be 6x
The next multiple is 6(x+1)
The biggest multiple is 6(x+2)
The sum of these multiple is 72
6x+6(x+1)+6(x+2)=72
6x+6x+6+6x+12=72
18x+18=72
18x=72-18
18x=52
x=3
now put the value of x above
6x3, 6x4, & 6x5
so ,here 6x5=30.
which is the biggest multiple of 6 in 72
check
18+24+30=72
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