 Hello and welcome to the session. In this session we discussed the following question which says two numbers are in the ratio 3 is to 4. If 8 is subtracted from each number, the ratio becomes 2 is to 3. Find the numbers. Let's proceed with the solution now. In the question we are given that the two numbers are in the ratio 3 is to 4. So we assume, let the required numbers be 3x and 4x. In the question we have that if 8 is subtracted from each number, the ratio becomes 2 is to 3. So according to the question we have 3x minus 8 is to 4x minus 8 is equal to 2 is to 3. This means 3x minus 8 upon 4x minus 8 is equal to 2 upon 3. Now further cross multiplying we get 3 multiplied by 3x minus 8 the whole is equal to 2 multiplied by 4x minus 8 the whole. This gives us 9x minus 24 is equal to 8x minus 16. Now we will find the value for x. We will transpose 8x to the left-hand side and minus 24 to the right-hand side. So we have 9x minus 8x is equal to 24 minus 16. So x is equal to 8. Thus we get the value for x as 8. We had assumed the numbers to be 3x and 4x. So we will put the value for x in these two numbers 3x and 4x to get the required numbers. Thus we say the required numbers are 3 multiplied by 8 and 4 multiplied by 8 that is 24 and 32. So our final answer is 24 and 32. This completes the session. Hope you have understood the solution of this question.