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In a certain group of 10 children, there are 6 boys, and their average (arithmetic mean) age is exactly 4.3 years. If the average age of all the children in the group is exactly 4.1 years, what is the average age of the girls in the group, in years?
A. 3.8
B. 3.9
C. 4.2
D. 4.5
E. 4.6
Source: GMAT Focus Prep
A. 3.8
B. 3.9
C. 4.2
D. 4.5
E. 4.6
Source: GMAT Focus Prep
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05 Jun 2024, 01:46
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So, we know the average age of 6 boys, i.e. 4.3
1) So X/6=4.3, where X is the sum of the age of all the boys.
X= 4.3*6 = 25.8
2) We know that the average age of all 10 childeren is 4.1, which means
Total age of children/10 = 41
No, subtract the sum of the age of the boys from the total age a and you get:
41-25.8 = 15.2
This 15.2 is the sum of the age of the girls. The number of girls = 10- boys (6) = 4
15.2/4 = 3.8
Therefore, the average age of the girls is 3.8
IMO answer A
1) So X/6=4.3, where X is the sum of the age of all the boys.
X= 4.3*6 = 25.8
2) We know that the average age of all 10 childeren is 4.1, which means
Total age of children/10 = 41
No, subtract the sum of the age of the boys from the total age a and you get:
41-25.8 = 15.2
This 15.2 is the sum of the age of the girls. The number of girls = 10- boys (6) = 4
15.2/4 = 3.8
Therefore, the average age of the girls is 3.8
IMO answer A
