5 years ago Deepika was twice as old as Kanchan .five years later ,Deepika's age will be 5 more than Kanchan s age .find their present ages with help on one variable only.
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Step-by-step explanation:
Let, the present age of Deepika be x.
And present age of Kanchan be y.
Then,
According to the quastion.
5 years ago Deepika was twice as old as Kanchan.
So, x-5 = 2(y-5)
x-5 = 2y - 10
x - 2y = - 5 …(1)
NOW, 5 years later Deepika’s age will be 5 more than Kanchan’s age.
So, x+5 = (y+5) +5
x+5 = y + 10
x - y = 5 …(2)
Now, solving equation (1) and (2)
x - 2y = - 5 and
x - y = 5, we get
y = 10 and x = 15
Hence, the present age of Deepika is 15 years and Kanchan is 10 years old.
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