when ten is reduced by two-thirds of number the result is six. find the number

Question

these are some of the most difficult questions when one cannot develop the equation from the words

Answer 1

Let x = the unknown number.  When ten (10) is reduced (minus) by two-thirds of number (2x/3) the result is six (= 6):

 

10 - 2x/3 = 6

4 = 2x/3

12 = 2x

6 = x

 

Check:

10 - 2*6/3 = 6

10 - 12/3 = 6

10 - 4 = 6

6 = 6

Check!