67.4k views
3 votes
Find two consecutive integers such that five times the first equals ten more than three times the second

User Gyan Gupta
by
3.8k points

1 Answer

4 votes
Let's call the first consecutive even integer:
n
Then, the second consecutive even integer would be:
n
+
2
So, from the information in the problem we can now write and solve:
5
n
=
4
(
n
+
2
)
5
n
=
(
4
×
n
)
+
(
4
×
2
)
5
n
=
4
n
+
8

4
n
+
5
n
=

4
n
+
4
n
+
8
(

4
+
5
)
n
=
0
+
8
1
n
=
8
n
=
8
Therefore the first even integer is:
n
The second consecutive even integer is:
n
+
2
=
8
+
2
=
10
5

8
=
40
4

10
=
40
User Anivas
by
3.3k points