Word problem

Question

Twice a number increased by 30% is six less than the product of 3 and the number.

 

Find the number

Answer 1

let the number be x

2x*(100+30)%=3x-6

2.6x=3x-6

-2.6x=2.6x

0=0.4x-6

+6=+6

6=0.4x

0.4x=6

x=6/0.4

x=15

Check: 2*15*1.30=3*15-6

        30*1.3=45-6

               39=39