20 and 14
Explanation:
Let the larger number be
x
Then the smaller number will be
x
−
6
Three times the smaller number is
3
(
x
−
6
)
, which is equal to two more than twice the other number which is
2
x
+
2
So,
→
3
(
x
−
6
)
=
2
x
+
2
Use the distributive property
a
(
b
+
c
)
=
a
b
+
a
c
→
3
x
−
18
=
2
x
+
2
Add
18
both sides
→
3
x
=
2
x
+
20
Subtract
2
x
both sides
⇒
x
=
20
We know that the larger number is
20
So, the smaller number is
20
−
6
=
14
