Question

Pushpa is twice as old as rita 12 years ago the differences between their ages is 2 years how old is pushpa today

Answer 1

Let present age of Pushpa be x
and present age of Rita be y

12 years ago:
Pushpa's age : x-12
Rita's age : y-12

Given:
1. (x-12)=2(y-12)
2. x-y=2

Lets evaluate 1.
x-12=2(y-12)
x-12=2y-24
x-2y=-24+12
3. x-2y= -12

Lets subtract 2. from 3.
x -2y = -12
x -y = 2
(-) (+) (-)
__________
0 -y = -14

Therefore
y=14

and since x-y=2
x-14=2
So, x=2+14
x=16

Hence
Present age of Pushpa is 16 years

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