Answer:
The two number as 23 and 35
Step-by-step explanation:
The sum of two numbers = x + y=58
The larger number is 12 more than the smaller number= So, pick a letter, I choose X, Now add 12 to x.
You would write that as: x +12 and that is what you will replace the "y" with below.
So, y= x + 12,
The replacement result would be: x + x + 12=58
X+X=2X or 2 times x
So next just put that 2X into the equation like this: 2X + 12 = 58
Now Subtract 12 from BOTH sides of the equal sign.
What is left is 2X = 46
Because 2x is a multiplication problem, you must do the opposite to remove it by dividing both sides of the "=" by 2.
So, 2/2=1 and any number times 1 is that original number. So will just write X
Therefore that leaves X by itself on the left side of the = sign. And now divide 46/2= 23
So, x=46/2
The result is x=23.
We know the larger number or "y" is 12 more than x (the smaller number). So Replace X with 23 and you get:
y=23 + 12 = 35 Therefore y= 35
So x= 23 and Y = 35
The numbers are 23 and 35.
