Question

Present ages of seema and shruti are in the ratio 4:5. Eight years from now,the ratio of will be 5:6. Find their present ages.

Answer 1

Let the age of Seema be 4x and Shruti be 5x

Eight years from now, Seema's age will be 5x and Shruti's age will be 6x


A/q,


4x + 8 + 5x + 8 = 5x + 6x

9x + 16 = 11x

16 = 11x - 9x

2x = 16

x = $\dfrac{16}{2}$

x = 8 years



Present age of Seema => 4x => 4 × 8 => 32 years

Present age of Shruti => 5x => 5 × 8 => 40 years

Answer 2

ratio of their present ages = 4 : 5

let the constant ratio be ' 'x'

so let present age of seema = 4x

and present age of shruti = 5x

after 8 years:
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age of seema = 4x + 8

age of shruti = 5x + 8

according to question,

after 8 years ratio of their ages = 5 : 6

(4x + 8 ) : ( 5x + 8 ) = 5 : 6

6 × (4x + 8 ) = 5 ( 5x + 8 )

24x + 48 = 25x + 40

x = 8

therefore ,

present age of seema = 4x = 4 × 8

= 32yrs

present age of shruti = 5x = 5 × 8


= 40 years

Answer:
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seema = 32 yrs , shruti = 40 yrs