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Mathematical hundred percent ratio
There is no need for column equations.

Original A: B =5:8= 15:24

Current A: B = 1:2= 13:26.

Because the total number of people remains the same, we can see the change of the proportion of people after the transfer of 8 people from Team A and Team B by replacing the two proportions with the same total number of shares.

8/( 15- 13)=4 (person)

One "share" is four people.

Answer: 4* 13=52 (person)

B: 4*26= 104 (person)

This is the current number.

I hope this helps.