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The average age of a couple, a day before the birth of their first chi
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30 Jul 2023, 23:48
30 Jul 2023, 23:48
Expert Reply
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Question Stats:
75% (01:48) correct
25% (01:29) wrong based on 12 sessions
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The average age of a couple, a day before the birth of their first child, was 26 years. Exactly 6 years after the birth of their first child, they had their second child, what was the approximate average age of the family of four, 6 years after the birth of the second child? (in years)
A. 20.5
B. 21
C. 21.5
D. 22
E. 23.5
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A. 20.5
B. 21
C. 21.5
D. 22
E. 23.5
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
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\(\Longrightarrow\) Best GRE Test Books of 2023
Re: The average age of a couple, a day before the birth of their first chi
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17 Sep 2023, 01:39
17 Sep 2023, 01:39
Expert Reply
OE
Average age of the couple, a day before the birth of the first child is 26 years
Let’s say A is the age of Husband, and B is the age of Wife.
Now we can say A+B/2=26
A+B=52
When the first child is born, consider sum of their ages at 𝑋.
Sum of age of family (husband, wife and child on the day when 1st child is born) is =
52 + 0 = 52 (as age of new born child is 0 years)
It is given that exactly 6 years after birth of first child at 𝑌, couple had their 2nd child.
After six years, every person in the family would age by 6 years at 𝑌.
Assuming age of 1st child be C.
Sum of their ages exactly 6 years after first child is born, A,B and C
= 52 + 6 + 6 + 6 + 0 = 70
(2
ndNewborn child has got age 0 years, everyone would age by 6 years, that’s why we
have added 6 three times here)
Sum of their ages exactly 6 years after first child is born = 70
Now consider a family of four 6 years after the second child is born at Z
Assuming the age of 2nd child be D. Sum of their ages 6 years after second child is
born, A, B, C and D = 70 + 6 + 6 + 6 + 6 = 94
(In six years, everyone would age by 6 years, that’s why we have added 6×4)
Sum of their ages 6 years after second child is born = 94
Average age of the family 6 years after second child is born
94/4=23.5
E is the answer
Average age of the couple, a day before the birth of the first child is 26 years
Let’s say A is the age of Husband, and B is the age of Wife.
Now we can say A+B/2=26
A+B=52
When the first child is born, consider sum of their ages at 𝑋.
Sum of age of family (husband, wife and child on the day when 1st child is born) is =
52 + 0 = 52 (as age of new born child is 0 years)
It is given that exactly 6 years after birth of first child at 𝑌, couple had their 2nd child.
After six years, every person in the family would age by 6 years at 𝑌.
Assuming age of 1st child be C.
Sum of their ages exactly 6 years after first child is born, A,B and C
= 52 + 6 + 6 + 6 + 0 = 70
(2
ndNewborn child has got age 0 years, everyone would age by 6 years, that’s why we
have added 6 three times here)
Sum of their ages exactly 6 years after first child is born = 70
Now consider a family of four 6 years after the second child is born at Z
Assuming the age of 2nd child be D. Sum of their ages 6 years after second child is
born, A, B, C and D = 70 + 6 + 6 + 6 + 6 = 94
(In six years, everyone would age by 6 years, that’s why we have added 6×4)
Sum of their ages 6 years after second child is born = 94
Average age of the family 6 years after second child is born
94/4=23.5
E is the answer
gmatclubot
Re: The average age of a couple, a day before the birth of their first chi [#permalink]
17 Sep 2023, 01:39
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