Question

The present ages of Tara and Riya
are in the ratio 2:3. Five years
from now, the sum of their ages will
be 55. Find their present ages.​

Answer 1

Answer:

Let present age of Tara be  'x'

Let present age of Riya be 'y'

as per condition

x/y = 2/3  → eqn 1

3x = 2y ( rearanging )

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let age of Tara after 5 years be x + 5

let age of Riya after 5 years be y + 5

as per condition

x + 5 + y + 5 = 55

x + y + 10 = 55

x + y = 45 → eqn 2

x = 45 - y  ( rearanging )

putting value of x in eqn 1

3(45 - y ) = 2y

135 - 3y = 2y

135 = 5y

y = 135/5

y = 27

putting value of y in eqn 2

x = 45 - 27

x = 28

so present age of Tara is 28 years

so present age of Riya is 27 years

Step-by-step explanation:

HOPE YOU UNDERSTAND