176k views
5 votes
the present age of prisca and Ashmaal are in ratio 2:3 . After 4 yrs the ratio of their ages will be 4:5 the present age of prisca will be …​

User Sarvan
by
8.1k points

1 Answer

5 votes

Answer:

he Present age of Prisca will be 4 years .

Explanation:

Given as :

The ratio of present age of Prisca and Ashmaal = 2 : 3

Let The present age of Prisca = 2 x years

Let The present age of Ashmaal = 3 x years

After 4 years , the ratio of present age = 4 : 5

i.e
( 2 x + 4)/(3 x + 4) =
(4)/(5)

Or, 5 × (2 x + 4) = 4 × (3 x + 4)

Or, 10 x + 20 = 12 x + 16

Or, 12 x - 10 x = 20 - 16

Or, 2 x = 4

∴ x =
(4)/(2)

i.e x = 2

So, The present age of Prisca = 2 x = 2 × 2 = 4 years

And The present age of Ashmaal = 3 x = 3 × 2 = 6 years

Hence, The Present age of Prisca will be 4 years . Answer

User Andrew Bannerman
by
7.6k points