Question

The difference between two numbers is 3 and their sum is 7. Find the numbers

Answer 1

Answer:

The numbers are 8 and 5

Step-by-step explanation:

The two numbers are

8

and

5

.

Explanation:

Consider the two numbers as

x

and

y

. From the given data, we write:

x

−

y

=

3

x

+

y

=

13

From the first equation, we determine a value for

x

.

x

−

y

=

3

Add

y

to both sides.

x

=

y

+

3

In the second equation, substitute

x

with

(

y

+

3

)

.

x

+

y

=

13

(

y

+

3

)

+

y

=

13

Open the brackets and simplify.

y

+

3

+

y

=

13

2

y

+

3

=

13

Subtract

3

from each side.

2

y

=

10

Divide both sides by

2

.

y

=

5

In the first equation, substitute

y

with

5

.

x

−

y

=

3

x

−

5

=

3

Add

5

to each side.

x

=

8