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Hey guys, welcome to Puzzle Joy.
A plus 2B equals 10.
A plus 4B equals 16.
Our goal is to find the value of A plus B.
Are you ready to solve?
Let's go and get started.
Let's subtract the first equation from the second equation.
So, let's write the second equation.
A plus 4B equals 16 minus the first equation.
A plus 2B equals 10.
Okay, A minus A gives us 0 plus 4B minus 2B which equals 2 and equals 16 minus 10
which equals 6.
Okay, so we have 2B equals 6.
Now, let's divide both sides by 2.
Divided by 2 and divided by 2.
We can easily cancel these two and these two.
So, we have B equals 6 divided by 2 which equals 3.
So, the final value for B is 3.
Now, let's plug this value we got for B into the first equation.
Okay, A plus 2B.
So, A plus 2 times 3 which equals 6.
So, A plus 6 gives us 10.
Now, let's move this value plus 6 to the right hand side.
So, we have A equals 10 minus 6 and 10 minus 6 equals 4.
So, A is 4.
A is 4 and B is 3.
Now, let's plug these values we got for A and B into the third equation.
A plus B.
Okay, A is 4.
And B is 3.
4 plus 3 gives us 7.
So, our final answer to this problem is just 7.