Question

ramaiah told his son 7years ago I was 7times as old as your then also 3years from now I shall be 3 times as old as you will be find they present age of ramaiah and his son​

Answer 1

Answer:

Step-by-step explanation:

let ramaiah's age be x years

let the son's age be y years

7 years ago

x-7= 7(y-7) (since ramaiah was 7 times old than his son)

x-7=7y-49

x-7y= -42 (equation 1)

3 years from now

x+3= 3(y+3) (since ramaiah was 3 times as old as his son)

x+3=3y+9

x-3y=6 (equation 2)

x-7y= -42

x-3y=6

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-4y=-48 (in subtraction, the signs of the second equation are changed and therefore x is cancelled)

y=48/4

y=12

substituting value of y in equation 2

we get,

x-3(12)=6

x-36=6

x=42 (transposing)

therefore, father's age is 42

son's age is 12

Answer 2

Answer:

Step-by-step explanation:

Let the  age of Ramaiah be x.

Let the age of her son be y.

Conditions 7 years ago

Age of Ramaiah was x-7.

Age of her son was y-7.

According to Question

7(y-7)=x-7

7y-49=x-7

7y=42+x

y=42+x/7______________________________________Eq1

Conditions 3 years after

Age of Ramaiah will be x+3

Age of her son will be y+3

According to Question

3(y+3)=x+3

3y+9=x+3

3y+6=x-----------------(1)

3y-x= -6___________________________________________Eq2

Substituting the Eq1 value in Eq2

$3(\frac{42+x}{7}) -x=-6$

$\frac{126+3x-7x}{7} =-6\\126-4x=-42\\-4x=-168\\Minus Cancels\\x=42$

So, x=42 ie Ramaiah's age is 42.

And , her son's age will be derived from (1)

3y+6=42

3y=36

y=36/3

So, y=12 ie Her son's age is 12 years.

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A tip for these Questions:-

Always put the conditions inverse of the Question.

For Example

The Question says that 7 yrs ago Ramaiah was 7 times as old as her son.

But what I did is I substituted 7 in her son's age.

Similar is the case 3 years after.

The Question says that 7 yrs ago Ramaiah was 3 times as old as her son.

But what I did is I substituted 3 in her son's age.

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