Hello!
To find the answer, we will use a system of equations representing the scenario and solve using substitutions, where L represents the larger number, and s represents the smaller number.
L=2s-5
L+s=64
Since we see that L=2s-5, lets plug it into the second equation and solve for s.
2s-5+s=64
3s-5=64
3s=69
s=23
Now with the value for s, we can find the value for L.
L=46-5
L=41
We have found the value, but let's check with the first equation just to make sure this is the correct value.
41+23=64
The larger number is 41.
I hope this helps!
