Mrs Jain is 27 years older than her daughter Nitu. she will be twice as old as Nitu. find the present age.
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solution
Let daughter age =x
Mr jain age =x+27
After 8yr x+27+8=x+35according to the conditionX+35=2xX=35Mrs jain age =35+27=62yrs
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Let the present age of Nitu be x years
Therefore the present age of Nitu’s mother = (x + 27) years
So, after 8 years, Nitu’s age = (x + 8)
and Mrs Jain’s age = (x + 27 + 8) = (x + 35) years
⇒ x + 35 = 2(x + 8)
Expanding the brackets, we get
⇒ x + 35 = 2x + 16
Transposing x to RHS and 16 to LHS, we get
⇒ 35 – 16 = 2x – x
⇒ x = 19
So, the present age of Nitu = x = 19 years
And the present age of Nitu’s mother that is Mrs Jain = x+ 27 = 19 + 27
= 46 years
THEREFORE,
Nitu's age = 19 years
Mrs Jain = 46 years
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