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5 votes
One number is seven more than a second number. Six times the first is 10 less than 2 times

the second. Find the numbers.

The value of the first number is ___.
The value of the second number is ___.

1 Answer

11 votes

Answer:

Step-by-step explanation:

The first number is

13

and the second number is

6

Step-by-step explanation:

Let's let the first number be

n

and the second number be called

m

.

Then, from the first sentence we can write:

n

=

m

7

and from the second sentence we can write:

2

n

=

6

m

+

10

Substitute

m

7

for

n

in the second equation and solve for

m

:

2

(

m

7

)

=

6

m

+

10

2

m

14

=

6

m

+

10

2

m

14

2

m

10

=

6

m

+

10

2

m

10

14

10

=

6

m

2

m

24

=

4

m

24

4

=

4

m

4

m

=

6

Now substitute

6

for

m

in the first equation and calculate

n

:

n

=

6

7

n

=

13

User Larpo
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