Question

One number is twice another number.

The larger number is 6 less than three
times the smaller number. Find the
two numbers.

Answer 1

20 and 14


Step-by-step 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