Question

The sum of 2 numbers is 21 the second number is six times the first

Answer 1

Explanation:

We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.

We can create two equations:

a+b=21a+b=21

b=6ab=6a

We can now substitute the value of b (6a) into the first equation.

a + (6a) = 21a+(6a)=21

Combine like terms:

7a=217a=21

Divide both sides by 7:

a=3a=3

Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into b=6ab=6a .

b=6⋅3

b=18

So our numbers are 3 and 18.

Hope this helped!

Answer 2

`\huge\boxed{\text{Numbers: 3, 18}}`

Explanation:

We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.

We can create two equations:

`a+b=21`

`b=6a`

We can now substitute the value of b (6a) into the first equation.

`a + (6a) = 21`

Combine like terms:

`7a=21`

Divide both sides by 7:

`a=3`

Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into
`b=6a`.

`b = 6 \cdot 3\\\\b = 18`

So our numbers are 3 and 18.

Hope this helped!