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CBSE Class 10 Answered

Anil says to Jacob, when i was of your age, i was twice as older as you. Then Jacob replied when i will be of your age then my age will be 3/4 if your age.Find the present ages of both.
Asked by rittwik | 12 Sep, 2010, 05:15: PM
answered-by-expert Expert Answer
Dear Student,
 
Let the age of Anil be X and that of Jacob be Y.
 
According to the first statement,
 
X - (X - Y) = 2 * (Y - (X - Y))
 
=> Y = 2 * (2Y - X)
 
=> Y = 4Y - 2X
 
=> 2X = 3Y                               (1)
 
 
From second statement,
 
3/4 * (X + (X - Y)) = Y + (X - Y)
 
=> 3 * (2X - Y) = 4X
 
=> 6X - 3Y = 4X
 
=> 2X = 3Y                             (2)
 
Since 1 and 2 both are same, we have only 1 equation to solve 2 variables. Hence there can be infinite solutions satifying
 
2X = 3Y
 
For example, if Y = 2 then X = 3. (Verify that this solution satisfies the equation.)
 
Regards Topperlearning.
Answered by | 12 Sep, 2010, 07:23: PM

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