Answer:
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:
<em>2x - 12 = x+7</em>
Now we solve:
<em>2x - x = 7 + 12</em>
x = 19<em> the smaller number is 19</em>
Now we solve for the larger number:
<em>y = 2x</em>
<em>y = 2*19</em>
y=38 <em>The larger number is 38</em>
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