The sum of the deductible and the difference is 64 find the value of the difference if the deductible is 18.

To solve the problem, let’s compose a system of equations. Let x be the unknown decreasing, y the sought difference. Since the subtracted is known (it is equal to 18), the first equation of the system will have the form: x – 18 = y.

We draw up the second equation based on the fact that the sum of the reduced, subtracted and the difference is 64:

x + 18 + y = 64.

Thus, we have obtained a system of equations: {x – 18 = y, x + 18 + y = 64.

Let us solve it by the substitution method, expressing from the first equation x:

x = y + 18.

We substitute this expression according to the second equation:

y + 18 + 18 + y = 64;

2y = 64 – 36;

2y = 28;

y = 28/2;

y = 14.

Answer: C14.