Question

6 years ago. ratio of son's age to father's age was 1.5. 12 years later, ratio of son's age to father's age
has become 1:2. What is the ratio of present son's age to father's age?
our
1998​

Answer 1

Answer:

Son= 12years , Father= 36years

Step-by-step explanation:

Concept= Ratio of ages

Given= The ratio of ages of son and father 6 years before and 12 year after.

To find= Present ages of son and father.

Explanation=

We have been given the information that 6 years ago ratio of son's age to father's age was 1:5 and 12 years later, ratio of son's age to father's age

has become 1:2.

So now we Let the present age of Son to be x and father's to be y.

Son=x

Father=y

6 Years ago data:

6 years ago the age of son will be x-6 and father age will be y-6.

The ratio of 6 years ago is given as 1:5.

So, (x-6):(y-6) = 1:5

equating we get (x-6)/(y-6)= 1/5

=> 5(x-6)= 1(y-6)

=> 5x -30=y-6

=> 5x-y=24        ....(i)

12 years later data:

12 years later the age of son will be x+12 and age of father will be y+12

The ratio of ages is given as 1:2.

so, (x+12):(y+12)=1:2

equating we get (x+12)/(y+12)=1/2

=> 2(x+12)=1(y+12)

=> 2x-y= -12      .....(ii)

Solving the equation (i) and (ii) simultaneously we get

5x-y=24

2x-y=-12

-   +    +

3x=36

x=12

so 5x-y=24

60-y=24

y=36

So the present age of

Son is 12years and Father's age is 36years.

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