The larger of two numbers is twice the smaller number. if 12 is subtracted from the larger number, the
result is 7 more than the smaller number. find the numbers.

Larger number: 38

Smaller number: 19

Step-by-step explanation:

We have two numbers, the smaller number (we will call it x), and the larger number (we will call it y).

We know that y is twice x, so we can write it like:

y = 2x

We also know that if we subtract y minus 12 the result is 7 more than x; wee can write this as:

y-12=x+7

With these two equations, we can substitute y and we get:

2x - 12 = x+7

Now we solve:

2x - x = 7 + 12

x = 19 the smaller number is 19

Now we solve for the larger number:

y = 2x

y = 2*19

y=38 The larger number is 38

it is probably the graph on the bottom right.