Question

The present ages of ramesh and seema are in the ratio 7:5. Six years hence, their ages will be in the ratio 5:4. Find their present ages

Answer 1

Let the present age of Ramesh and Seema be 7x and 5x respectively.
After 6 years (6 years hence), their ages will be in the ratio of 5:4.
In mathematical terms, we can write this as
(7x + 6)/(5x + 6)= 5/4 (cross multiply and solve for x)
By solving the above equation, we'll get the value of x which is 2.
Therefore, the present ages of Ramesh and Seema are 14 years and 10 years respectively.

I hope this answers your question sufficiently. Happy learning.

Answer 2

Let the age of Ramesh be 7x
Let the age of seema be 5x

6 years hence
Let the age of Ramesh be 7x+6
Let the age of seema be 5x+6

New ratio = 5:4
7x+6/5x+6=5/4
4(7x+6) = 5(5x+6) [By cross multiplying]
28x+24=25x+30
28x-25x=30-24
3x = 6
x = 6/3
x = 2

so, The present ages of ramesh =7x=7x2=14yrs

The present age of seema = 5x=5x2= 10yrs

Hope I helped you

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