Question

The present age of Shobha is equal to one fifth of her mother sudha's age. Twenty-five years later the age of Shobha will be 4 years less than half the age of her mother Sudha. Find their present ages.

Answer 1

Answer:

Age of Sudha = 55 years

Age of Shobha = 11 years

Step-by-step explanation:

Let age of Sudha be x.

So, age of Shobha =1/5x

After twenty-five years,

Age of Sudha= x+25

Age of Shobha =1/5x +25

According to the question,

1/5 x +25 = 1/2 (x+25) - 4

=> x/5 +25 = x+25/2 - 4

=> x+ 125 /5 = x+25 -8 /2

=> x+125 /5 = x+ 17 /2

=> 2(x+125) = 5(x+17) [cross multiplying]

=> 2x + 250 = 5x + 85

=> 5x-2x = 250-85

=> 3x = 165

=> x = 165/3

=> x =55

So, present age of Sudha =x= 55 years

Present age of Shobha =1/5 x = 1/5 × 55 = 11 years

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