Question

Tom and bina read 34 books in a month. Bina and Weiming read twice as many books as Tom.how many books did Bina read in that month?​using DMAS rule​

Answer 1

Answer:

This would be correct if Tom and Bina read the same number of books, which is denoted by x in your equation. But there is no reason to think so.

Let t, d and w be the number of books read by Tom, Bina and Weiming, respectively. Then we can get the following equations from the problem statement.

⎧⎩⎨t+dd+ww=34=58=2t

Substituting w from the third equation into the second one, we get

{t+d2t+d=34=58

The difference between the left-hand sides, i.e., (2t+d)−(t+d)=t, and from the right-hand sides the same difference is 58−34=24. Therefore, t=34. Then from the first equation we get d=34−t=34−24=10.