Question

The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio of 7:5. What is the present age of Ranjna?

Answer 1

Answer:

Step-by-step explanation:

Let Simran’s age = 5x

Ranjna’s age = 3x

After 6 years, Simran’s age = 5x + 6

Ranjna’s age = 3x + 6

⇒ 25x = 30 = 21x + 42

⇒ 25x –21x = 42 –30

⇒ 4x = 12

∴ Present age of Ranjana = 3x

= 3 × 3 = 9 years  

Answer 2

Answer: 9 years

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Step-by-step explanation:

Let ages of Simran and Ranjna be 5x and 3x respectively.

After six years, their age ratio is 7: 5 then,

( 5x +6 ) / ( 3x +6 ) = 7/5

or, 5 * ( 5x +6 ) = 7 * ( 3x +6 )

or, 25x + 30 = 21 x + 42

or, 4x = 12

---> x = 3

Then

Age of Ranjna = 3x = 3* 3 = 9 years