Question

Sara's mother is three times as old as Sara and four times old as Sara's sister Anu. Anu is three years younger than Sara. how old are Sara Anu and their mother?

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

12 = X

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

Sara's mother is three times as old as Sara and four times old as Sara's sister Anu. Anu is three years younger than Sara. The ages of Mother, Sara and Anu are 36, 12 and 9 respectively.

Given,

Sara's mother is three times as old as Sara.----(1)

Mother is four times older as Anu.----(2)

Anu is three years younger than Sara.----(3)

To find,

Age of Anu, Sara and Mother.

Concept,

Linear equations in one variable.

Let the age the Anu be 'x'

Anu = x

Sara = x + 3---(as Anu is three years younger than Sara)

Mother = 4x---(as Mother is four times older as Anu)

Mother = 3(x + 3)---(as Sara's mother is three times as old as Sara)

4x = 3(x + 3)

4x = 3x + 9

x = 9.

Since, age of Anu is 9.

Mother = 4x = 4(9) = 36

Sara = x + 3 = 9 + 3 = 12.

Therefore, the ages of Mother, Sara and Anu are 36, 12 and 9 respectively.