Question

Anand's age after 25 years will be twice his age 5 years back. Find the present age of Anand.​

Answer 1

Explanation:

What is Anand's present age in years?

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Lets represent ages of Sameer and Anand as S and A respectively.

We know that[math] S:A = 5:4[/math] or [math]S = 5/4 * A[/math] or

[math] 4S = 5A[/math] … Lets call this Equation 1.

In three years time S would be S + 3 and A would be A + 3

We know that[math] (S+3) = 11/9 * (A + 3) [/math]

or [math]9 (s + 3) = 11 (A) + 33 [/math]

or [math]9S - 11A - 6 = 0[/math] … Lets call this Equation 2.

Now multiplying equation 1 by 9 and equation 2 by 4, we get:

[math]36S - 45A = 0 [/math] and

[math]36S - 44A -24 = 0[/math]

Lets subtract the converted Equation 1 from Equation 2:

[math]36S - 44A - 24 - (36S - 45A) = 0[/math]

or [math] A = 24[/math].

Now that we know A we can compute [math]S = 5/4 * A = 30[/math].

3 years hence, S would be 33 and A would be 27 and these are in the ratio 11:9

Therefore Sameer is 30 and Anand is 24