Question

The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.

Answer 1

Answer:

The two numbers are 15 and 6.

Step-by-step explanation:

Given:

The difference between two numbers is 9.

The first number plus twice the other number is 27.

Now, to find the two numbers.

Let the first number be $x.$

And the other number be $y.$

So, the difference between two numbers is 9.

$x-y=9$

$x=9+y$    ............(1)

As, given the first number plus twice the other number is 27.

According to question:

$x+2y=27$

Substituting the value of $x$ from equation (1):

$(9+y)+2y=27\\9+y+2y=27\\9+3y=27$

Subtracting both sides by 9 we get:

$3y=18$

Dividing both sides by 3 we get:

$y=6.$

The other number = 6.

Now, substituting the value of $y$ in equation (1):

$x=9+y\\x=9+6\\x=15.$

The first number = 15.

Therefore, the two numbers are 15 and 6.