 Hello and welcome to the session. In this session we discussed the following question which says, what number must be subtracted from each term of the ratio 9 is to 7 so that the ratio becomes 2 is to 3. Let's move on to the solution now. Let the required number be equal to x. So the given ratio is 9 is to 7 or you can say this is equal to 9 upon 7. Now when x is subtracted from each term of the ratio 9 is to 7 then we have 9 minus x is to 7 minus x is equal to 2 is to 3 or we can say 9 minus x upon 7 minus x is equal to 2 upon 3. Now we cross multiply so this gives us 3 into 9 minus x is equal to 2 into 7 minus x. This means 27 minus 3x is equal to 14 minus 2x. Now we transpose this minus 3x to the right hand side and this 14 to the left hand side. So we have 27 minus 14 is equal to 3x minus 2x or 13 is equal to x. Now we can say that x is equal to 13. Thus we say 13 must be subtracted from each term of the ratio 9 is to 7 so that the ratio becomes 2 is to 3. Now the final answer is 13. This completes the session. Hope you have understood the solution for this question.