Question

sum of the present ages of sonali and monali is 31. monalis age 3 years age was 4 times the age of sonali , find their parent ages.​

Answer 1

Step-by-step explanation:

Let the age of Sonali be x three years ago.

So, Three years ago, Monali age = 4x.

Their present age will be x+3 and 4x+3.

As per the question,

x+3 + 4x+3 = 31

=> 5x + 6 = 31

=> 5x = 31-6 = 25

x= 25/5 = 5.

So, the present age of Sonali = 5+3 = 8 years.

And, Monali's age = 23 years.

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Answer 2

Answer:

23 years and 8 years.

Step-by-Step Explanation:

Let, the age of Sonali = a

age of Monali = b

Sum of their ages is 31 year:

→ a + b = 31

→ a = 31 - b ... (1)

3 years ago:

Sonali's age = (a - 3) years

Monali's age = (b - 3) years

In question: that time

→ Sonali = 4 * Monali

→ (a - 3) = 4(b - 3)

→ a - 3 = 4b - 12

→ a - 4b = - 12 + 3

→ (31 - b) - 4b = - 9 {a=31 - b}

→ 31 - 5b = - 9

→ 31 + 9 = 5b → 40 = 5b

→ (40/5) = b → b = 8

Putting the value of x in equation 1,

→ a = 31 - 8 = 23 year

Age of Sonali = a =23 years

Age of Monali  = b = 8 years