Question

Sara's mother is three times as old asSara and four times as old as Sara's sister, Anu . And, Anu is three years younger
than sara. How old as are
Sara , Anu and their mother?
WHO WILL ANSWER WILL BE MARKED AS BRAINLIST .​

Answer 1

Suppose Sara's age = X

So, Sara's Sister Ann age = X-3

Mother age = Sara's age * 3 X*3 = 3X

or = Ann's age * 4 = 4 (X - 3)

Step by step explanation:

find the value of X

3X = 4 (X-3)

3X = 4X-12

12 = 4X-3X

X = 12

So Sara's age = X

Mother's age = 3X = 3 * 12 = 36

Anna's is age = X-3 = 12-3 = 9

Answer 2

Answer:

The Sara is 12 years old, Anu is 9 years old, Sara's mother is 36 years old

Step-by-step explanation:

Given Sara's mother is three times old than Sara

                    four times old than Sara's sister Anu

Anu is three years younger than Sara

let x be the Sara's age

    y be the Sara's sister Anu's age

    z be the Sara's mother age

convert above statements into mathematical expression

• Sara's mother age (z) is three times old then Sara's age (x) which means Sara's mother age is more than 3 times of Sara's age

Sara's mother age  z = 3x _ (1)

• Sara's mother age (y) is 4 time old than Sara's sister Anu age (y)    which means Sara's mother age is more than 4 times of Anu age

Sara's mother age z = 4y _ (2)

• Anu is 3 years younger than Sara which means Anu's age (y) is 3 years less than Sara's age

Anu's age  y = x-3 _(3)

substitute  y = x-3 in (2)

                (2) ⇒ z= 4(x-3)    

                    ⇒ z =  4x -12_ (4)

from (4) and (1) ⇒   4x-12 = 3x

                        ⇒ 4x -3x =12

                        ⇒ x = 12  

mothers age z = 3x =3(12)= 36  years

 Anu's age y = x-3 =12-3 = 9