Question

Anita is twice as old as Suman. If six years is subtracted from Suman's age and four years
added to Anita's age, then Anita will be four times Suman's age. How old were they two years ago?

Answer 1

Step-by-step explanation:

Given : Age of Anita = 2(Age of Suman); (i)

(Age of Anita + 4) = 4(Age of Suman - 6) (ii)

So, let the age of Anita be x and Suman be y.

Thus we can write equation (i) and (ii) as;

x = 2y;

(x + 4) = 4(y - 6);

Now, put the value of x in equation (ii) from equation (i);

2y + 4 = 4y - 24;

2y = 28;

y = 14.

Present age of Suman = 14;

Present age of Anita = 28;

Their age before two years;

Suman's age = 14 - 2 = 12;

Anita's age = 28 - 2 = 26.

That's all.