If 2n-3 is an even number, what would be the next larger even number?

Question

a. 2n-5

b. 2n-4

c. 2n-1

d. 2n-2

Answer 1

2*n-3 = an even number and we want to find the next larger even number. We know that 2*n is going to be the same for all the of the options therefore we look at the second part of the equation, the subtraction of the number. Now if subtracting 3 gives you an even number then to find a larger even number you would have to subtract less therefore A and B wouldn't work because you are subtracting a higher number therefore would be less. This leaves C and D. Now since we are subtracting 3 from 2*n to get the even number then this means you need to subtract an odd number to get another even number. This means D would give you an odd number and C would give you an even number therefore C would be the answer since it gives you both an even number and the next higher even number.

To test this out you can find a number (n) that will give you an even number for the equation like 2.5 which would give you an answer of 2 (2*2.5-3=5-3=2). Following this you would get 0 for A, 1 for B, 4 for C, and 3 for D. The next higher number from 2 would be 4 therefore C is the correct answer.