Question

Rishna is 6 years older then her younger sister ,after 10 year the sum of their ages is 50 year then the present age of rishna younger sister?

Answer 1

Answer: 12 years.

Step by step explanation:

Let the present age of Rishna's younger sister be 'x' years.

Thus, Rishna's present age = x + 6 years.

Given that, After 10 years, sum of their age will be 50 years.

Thus,

{ (x + 6) + 10 } + ( x + 10 ) = 50

» (x + 16) + (x + 10) = 50

» 2x + 26 = 50

» 2x = 24

» x = 12

Thus, Rishna's younger sister's age = 12 years.

Age of Rishna = x + 6 = 12 + 6 = 18

Answer: Present age of Rishna's younger sister is 12 years.

Answer 2

Answer :-

The present age of Rishna's younger sister is 12 years

Explanation :-

Given :

• Age of Rishna = 6 years more than the age of her younger sister
• After 10 years, Sum of their ages will be = 50

To find :

The present age of Rishna's younger sister

Solution :

Let the age of younger sister be 'x' yrs

and the age of Rishna be '(x + 6)' yrs

After 10 years,

Age of Rishna = {(x + 6) + 10} yrs

= (x + 16) yrs

Age of Rishna's sister = (x + 10) yrs

According to question,

$\sf\longrightarrow (x + 16) + (x + 10) = 50$

$\sf\longrightarrow x + 16 + x + 10 = 50$

$\sf\longrightarrow 2x + 26 = 50$

$\sf\longrightarrow 2x = 50 - 26$

$\sf\longrightarrow 2x = 24$

$\sf\longrightarrow x = \dfrac{24}{2}$

$\sf\huge\boxed{\therefore x = 12}$