Question

If 1 is added to twice a number and the result is divided by 1 less than the number we get 7/3. find the number

Answer 1

let the number be x
according to the question
(1+2x)/x-1=7/3
then by cross multiplying
3(1+2x)=7(x-1)
3+6x=7x-7
3+7=7x-6x
10=x
hence 10 is the number
cross check by putting 10 in the place of x