Question

1. The average marks of 48 students in a class is 45. The average marks of the boys in the class is 40 and the average marks of the girls in the class is 50. What is the ratio of the number of boys and girls in the class?

(1) 1:1 (2) 3:4 (3)3:5 (4) 4:5​

Answer 1

Answer:

(1)

Step-by-step explanation:

Total marks of 48 students =48x45=2160

Let the number of boys be B and the number of girls be (48−B)

Then total marks of boys =40B

Total marks of girls =50(48−B)=2400−50B

⇒ 40B+2400−50B=2160

⇒ 10B=240

⇒ B=24

Thus number of girls =48−24=24

Therefore, required ratio =24:24=1:1

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