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The average age of three people living in a house – man, woman and child, is 24 years. If the man leaves and his mother stays in his place, then the average age in the house becomes 34 years. How much older is the mother than her son?
A 20
B 25
C 30
D 32
E 36
A 20
B 25
C 30
D 32
E 36
08 Apr 2022, 07:51
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Bunuel
The average age of three people living in a house – man, woman and child, is 24 years. If the man leaves and his mother stays in his place, then the average age in the house becomes 34 years. How much older is the mother than her son?
A 20
B 25
C 30
D 32
E 36
A 20
B 25
C 30
D 32
E 36
Let M, W, and C = the ages of the man, woman, and child respectively.
Let G = the age of the man's mother.
The average age of three people living in a house – man, woman and child, is 24 years.
So, we can write: (M + W + C)/3 = 24
Multiply both sides of the equation by 3 to get: M + W + C = 72
If the man leaves and his mother stays in his place, then the average age in the house becomes 34 years.
So, we can write: (G + W + C)/3 = 34
Multiply both sides of the equation by 3 to get: G + W + C = 102
How much older is the mother than her son?
In other words, we want to find the value of G - M
We now have the following system of equations:
G + W + C = 102
M + W + C = 72
If we subtract the bottom equation from the top equation we get: G - M = 30
Answer: C
17 Oct 2024, 03:19
Kudos
Bookmarks
What does the variable G stand for?
Let M, W, and C = the ages of the man, woman, and child respectively.
Let G = the age of the man's mother.
The average age of three people living in a house – man, woman and child, is 24 years.
So, we can write: (M + W + C)/3 = 24
Multiply both sides of the equation by 3 to get: M + W + C = 72
If the man leaves and his mother stays in his place, then the average age in the house becomes 34 years.
So, we can write: (G + W + C)/3 = 34
Multiply both sides of the equation by 3 to get: G + W + C = 102
How much older is the mother than her son?
In other words, we want to find the value of G - M
We now have the following system of equations:
G + W + C = 102
M + W + C = 72
If we subtract the bottom equation from the top equation we get: G - M = 30
Answer: C
BrentGMATPrepNow
Bunuel
The average age of three people living in a house – man, woman and child, is 24 years. If the man leaves and his mother stays in his place, then the average age in the house becomes 34 years. How much older is the mother than her son?
A 20
B 25
C 30
D 32
E 36
A 20
B 25
C 30
D 32
E 36
Let M, W, and C = the ages of the man, woman, and child respectively.
Let G = the age of the man's mother.
The average age of three people living in a house – man, woman and child, is 24 years.
So, we can write: (M + W + C)/3 = 24
Multiply both sides of the equation by 3 to get: M + W + C = 72
If the man leaves and his mother stays in his place, then the average age in the house becomes 34 years.
So, we can write: (G + W + C)/3 = 34
Multiply both sides of the equation by 3 to get: G + W + C = 102
How much older is the mother than her son?
In other words, we want to find the value of G - M
We now have the following system of equations:
G + W + C = 102
M + W + C = 72
If we subtract the bottom equation from the top equation we get: G - M = 30
Answer: C
