The united ages of a man and his wife are six times the united ages of their children. Two years ago their united ages were ten times the united ages of their children and six year hence their ages will be three times the united ages of their children. How many children have they?
The united ages of a man and his wife are six times the united ages of their children. Two years ago their united ages were ten times the united ages of their children and six year hence their ages will be three times the united ages of their children. How many children have they?
Option 1 -
5
Option 2 -
2
Option 3 -
3
Option 4 -
4
-
1 Answer
-
Correct Option - 3
Detailed Solution:(c):Let A be the combined age of husband and wife n be the number of children and x is the average age of one child. Then
A = 6nx…. (1)
A – 4 = 10 (n (x – 2)] …. (2)
A + 12 = 3 [n (x + 6)] …. (3)
On solving the above equation, we get n = 3
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