Three less than the quotient of a number and two has a result of thirteen. Which equation and solution correctly represents this sentence. N/2+3=13; n=5, n/2-3=13; n=8, n/2+3=13; =20, n/2-3=13; n=32

Answer: n/2-3=13; n=32

Step-by-step explanation: the equation and solution correctly represents this sentence is n/2-3=13; n=32,

first we have to keep in mind the beginning of the exercise which is (three less) then we know that the 3 has a sign of subtraction (-3), when we meet this, we can know that this exercise has only two possible good answer.

Only the equations which have a (-3) inside will be good, the rest of equation has a 3 with a sum sign

N/2+3=13; n=5,

n/2+3=13; =20

then we can omit the past equations, and this let us this equations as possible.

n/2-3=13; n=32

n/2-3=13; n=8

after this we only need resolve the equation to get a correct result, only the equation with a correct result will be the correct answer,

then we proceed to clear n from each equation.

for this equation the result must be equal to 8 if we clear n.

n/2-3=13; n=8

n/2-3=13

we pass the three to the other side with sum sign

n/2=13 + 3

we resolve the sum

n/2=16

after we pass the 2 multiplying to the other side

n = 16 * 2

we resolve the product of the multiplication

n = 32

but this answer said the result must be equal to 8

n=8 ≠ n = 32

as this result is different, we can conclude that this is a bad answer,

the we get only one possibility

this equation

n/2-3=13; n=32

for this equation the result must be equal to 32 if we clear n.

n/2-3=13; n=8

n/2-3=13

we pass the three to the other side with sum sign

n/2=13 + 3

we resolve the sum

n/2=16

after we pass the 2 multiplying to the other side

n = 16 * 2

we resolve the product of the multiplication

n = 32