Question

Two times a number plus ten times a number is twenty.

Thirty times the second number plus three times the first number is 45.

What are the two numbers?

Answer 1

Answer: 2xn + 10xn = 20 + 30xn + 3xn = 45

Explanation:

Answer 2

Let's call the first number "x" and the second number "y".

From the first piece of information, we know that:

2x + 10y = 20

We can simplify this equation by dividing both sides by 2:

x + 5y = 10

From the second piece of information, we know that:

30y + 3x = 45

We can simplify this equation by dividing both sides by 3:

10y + x = 15

Now we have two equations:

x + 5y = 10

10y + x = 15

We can solve for one variable in terms of the other by subtracting one equation from the other:

(10y + x) - (x + 5y) = 15 - 10

5y = 5

y = 1

Now that we know y = 1, we can substitute this value into either of the two equations we have to solve for x:

x + 5(1) = 10

x = 5

Therefore, the two numbers are x = 5 and y = 1.