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If the mean age of combined group of boys and girls is 18 years and the mean of age of boys is 20 and that girls is 16, then what is the percentage of boys in the group? (a) 60 (b) 50 (c) 45 (d) 40?
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If the mean age of combined group of boys and girls is 18 years and th...
Mean Age of the Combined Group
- The mean age of the combined group of boys and girls is given as 18 years.

Mean Age of Boys
- The mean age of boys is given as 20 years.

Mean Age of Girls
- The mean age of girls is given as 16 years.

Calculating the Percentage of Boys in the Group
- Let's assume that there are 'B' boys and 'G' girls in the group.
- The total number of people in the group can be represented as B + G.
- The mean age of the combined group can be calculated using the formula:
- (Sum of ages of boys + Sum of ages of girls) / (Number of boys + Number of girls) = 18
- From this equation, we can write:
- (20B + 16G) / (B + G) = 18
- Multiplying both sides by (B + G), we get:
- 20B + 16G = 18(B + G)
- 20B + 16G = 18B + 18G
- 2B = 2G
- B = G
- This implies that the number of boys is equal to the number of girls in the group.

Calculating the Percentage
- The percentage of boys in the group can be calculated as:
- (Number of boys / Total number of people) × 100
- (B / (B + G)) × 100
- (B / (B + B)) × 100
- (B / (2B)) × 100
- 1/2 × 100
- 50

Answer
- Therefore, the percentage of boys in the group is 50% (option b).
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If the mean age of combined group of boys and girls is 18 years and the mean of age of boys is 20 and that girls is 16, then what is the percentage of boys in the group? (a) 60 (b) 50 (c) 45 (d) 40?
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