The present ages of raju and ravi are ratio 5:4 five years from now the ratio of their ages will be 6:5 find their present ages
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Answer:
Let present age of ravi be x.
Let present age of raju be y.
As per first condition
x/y = 4/5
Therefore, 5x= 4y
Therefore, 5x-4y = 0 (1)
After eight years age of ravi will be x+8 and of ravi y+8 respectively
Therefore as per second condition
(x+8) /( y+8) = 5/6
Solving second equation
Therefore, 6x+48 = 5y+ 40
Therefore, 6x-5y = 40-48
Therefore, 6x -5y =-8 -(2)
Solving equations 1&2
Multiplying equation 1 by 5 and multiplying equation 2 by 4
Now solve it simultaneously
U will get 20x-20y =0
And
24x-20y = -32
Subtracting both
You will get x = 8
Substitute in equation 1
40-4y = 0
y =10
So present ages of ravi and raju is 8 and 10 respectively
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