There are 109 students in the two classes of grade 6. It is known that 611 boys in class A and 49 girls in class B are in class A. how many boys are there in the two classes?

According to the stem analysis, the number of students in class A is a multiple of 11, while that in class B is a multiple of 9. The multiple of 11 is 22, 33, 44, 55, 66, 77, 88, 99; the multiple of 9 is 18, 27, 36, 45, 54, 63, 72, 81. When there are 55 students in class A and 54 students in class B, the total number is just 55 + 54 = 109, so the number of boys in the two classes is 55 × 611 + 54 × (1-49) = 30 + 30 = 60 There are 60 boys in each class

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