Question

Annu is twice as old as priya. Five years ago his age was three times priyas age. Find their present ages.​

Answer 1

Answer:

Annu 20, Priya 10

Step-by-step explanation:

Let A and P denote Annu, Priya ages respectively.

From first condition, A = 2P --- (a)

For second condition, subtract 5 years from their current ages, as in (A-5) and (P-5). And from given,

(A-5) = 3(P-5)

Solving, we get 3P-A = 10 --- (b)

Substitute eqn (a) in (b)

We get, 3P-2P = 10

So, P = 10 years

And from (a), A = 2P = 20 years.

Answer 2

Answer:

ANSWER

let age of Annu be

′

x

′

and age of priya be

′

y

′

then according to question x=2y−−−(1)

and five years ago

x−5=3(y−5)

x−5=3y−15

x−3y+10=0−−−(2)

using eq(1)

2y−3y+10=0

y=10

and x=20

∴ age of Annu is 20 and age of priya is 10