Question

Present ages of Savita and Anandi are in the ratio of 5:4 respecrively. Three years hence ,the ratio of their ages will become 11:9 respectively. What is Anandi's present age in years?

Answer 1

Answer:

• Anandi's age = 24 years.

Given :

• Present ages of Savita and Anandi are in the ratio of 5:4 respecrively.

• Three years hence, the ratio of their ages will become 11:9 respectively.

To find :

• The present age of Anandi in years =?

Step-by-step explanation:

Let, present ages of Savita and Anandi are 5x and 4x

After 3 years ago Savita's age = 5x + 3

And, after 3 years ago Anandi's age = 4x + 3

According to the question :

➺ 5x + 3/ 4x + 3 = 11/9

➺ 9(5x + 3) = 11(4x + 3)

➺ 45x + 27 = 44x + 33

➺ 45x - 44x = 33 - 27

➺ x = 6

Hence,

Anandi's age = 4x => 4 × 6 => 24 years

Answer 2

$\large \bigstar\boxed{\bf \red{ GIVEN}} \bigstar$

• Ratio of present age of Savita and Anandi is 5 : 4
• After three years ratio of their age is 11 : 9

$\large \bigstar\boxed{\bf \red{T0 \: FIND}} \bigstar$

• Present age of Anandi

$\large \bigstar\boxed{\bf \red{SOLUTION}} \bigstar$

Let's

Savita age = 5x

Anandi age = 4x

After 3 years savita age = 5x + 3

After 3 years Anandi age = 4x + 3

According to question :

$\bf \frac{5x + 3}{4x + 3} = \frac{11}{9} \\ \\ \bf 9(5x + 3) = 11(4x + 3) \\ \\ \bf45x + 27 = 44x + 33 \\ \\ \bf45x - 44x = 33 - 27 \\ \\ \large \boxed{ \bf \blue{x = 6}}$

$\boxed {\bf \orange{Anandi \: age = 4 \times 6 = 24 \: years}}$