present age of Anu and Raj are in the ratio 4 : 5 8 years from now the ratio of their age will be 5 : 6 find their present age
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↦Solution : -
Let the present age of Anu be = 4x
Let the present age of Raj be = 5x
After Eight years : -
Present age of Anu = (4x + 8)
Present age of Raj = (5x + 8)
The ratio of their ages after 8 years = 4x+8/5x+8
Now ,
It is given that , 8 years from now the ratio of their age will be 5 : 6 ..
So ,
4x+8/5x+8 = 5/6
By Cross Multiplication : -
6 (4x + 8) = 5 (5x + 8)
24x + 48 = 25x + 40
24x + 48 - 40 = 25x
24x + 8 = 25x
8 = 25x - 24x
8 = x
Therefore , Value of x is 8 ..
Now ,
Present age of Anu = 4(x)
4 × 8
32 years
Present age of Raj = 5(x)
5 × 8
40 years
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