Question

The ratio of present ages of Ajay and Vijay is 4:5. After 8 years the ratio of their ages will be 5:6, then find their present ages.

Answer 1

Solution :

At present :

Ratio ages of Ajay and Vijay = 4 : 5

Let Ajay age = 4x years

Vijay age = 5x years

After 8 years :

Ajay age = ( 4x + 8 ) years

Vijay age = ( 5x + 8 ) years

According to the problem given ,

(4x+8)/(5x+8) = 5/6

Do the cross multiplication, we get

=> 6(4x+8) = 5(5x+8)

=> 24x+48 = 25x + 40

=> 24x - 25x = 40 - 48

=> -x = -8

=> x = 8

Therefore ,

At present :

Ajay age = 4x = 4×8 = 32 years

Vijay age = 5x = 5×8 = 40 years

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