Question

Twice the difference of a number and 2 is equal to three times the sum of the number and 4

Answer 1

Answer:

Step-by-step explanation:

We are given that Twice the difference of a number and 2 is equal to three times the sum of the number and 4. And we have to tell the number.

Let the number be x

Its difference from 2 = x-2

Twice the difference =2(x-2)

Sum of number and 4 = x+4

Three times of the sum : 3(x+4)

Hence 2(x+2)=3(x+4)

2x+2×2=3x+3×4

2x+4=3x+12

Subtracting 12 and 2x from both sides.

4-12=3x-2x

-8=x

Hence the number is -8