Question

Half of a certain number is 3 more than the number

Answer 1

Answer:

the number is - 6

Step-by-step explanation:

let the number be x

half of the number = 1/2 x

it is 3 more than the number = x + 3

$\frac{1}{2} x = x + 3 \\ \frac{x}{2} = x + 3 \\ x = 2(x + 3) \\ x = 2x + 6 \\ x - 2x = 6 \\ - x = 6 \\ x = - 6$

verification

1

$\frac{1}{2} ( - 6) = - 6 + 3 \\ - 3 = - 3 \\ lhs \: = rhs$

Hope you get your answer