Question

The ratio of ages of A and B is 3 : 11. After 3 years the ratio becomes 1:3. What are the ages of A and B

Answer 1

Step-by-step explanation:

let constant X

ratio can be written as fraction

then according to question

3x+3/11x+3=1/3

3(3x+3)=11x+3

9x+9=11x+3

2x=6

X=3

A'S AGE=3×3=9YEARS

B'S AGE=11×3=33YEARS

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Answer 2

Answer:

The age of A is $9$ years and age of B is $33$ years.

Step-by-step explanation:

Let us consider a constant $x$.

Age of A at initial year : $3x$

Age of B at initial year : $11x$

Age of A after $3$ years : $3x+3$

Age of B after $3$ years : $11x+3$

We know that ratios can be written as fractions.

Then considering the values given in our question,

$\frac{3x+3}{11x+3} =\frac{1}{3}$

By cross multiplying, we get :

$3(3x+3)=11x+3$

$9x+9=11x+3$

$2x=6$

$x=3$

Hence, A's age after $3$ years $=9$ years.

B's age after $3$ years $=11$ × $3=33$ years.