Mr jainis27 years older than her daughter nilu after 8 years she will be twice as old as nilu find their present ages
Answers
Given :-
- Mr (Mrs) Jain is 27 years older than her daughter Nilu.
- After 8 years, Mr (Mrs) Jain will be twice as old as Nilu.
To find :-
- Present age of Mr (Mrs) Jain.
- Present age of Nilu.
Sóĺúťíóń :-
Let the present age of Nilu be x years.
As per the first condition,
- Mr (Mrs) Jain is 27 years older than her daughter Nilu.
Present age of Mr (Mrs) Jain = x + 27 years.
As per the second condition,
- After 8 years Mr (Mrs) Jain will be twice as old as Nilu
Age after 8 years,
Nilu's age = x + 8 years
Mr (Mrs) Jain age = x + 27 + 8 = x + 35 years.
Mr (Mrs) Jain will be twice as old as Nilu.
Let's represent it mathematically to get our equation and solve it further.
x + 35 = 2 ( x + 8)
x + 35 = 2x + 16
Transport the terms,
35 - 16 = 2x - x
19 = x
•°• Present age of Nilu = x = 19 years
Substitute value of x in age of Mr (Mrs) Jain.
Age of Mr (Mrs) Jain = x + 27= 19 + 27 = 46
•°• Present age of Nilu = 19 years
Present age of Mr (Mrs) Jain = 46 years.
For first case :-
- Mr (Mrs) Jain is 27 years older than her daughter Nilu
Nilu's present age = 19 years = x
Mr (Mrs) Jain present age = 46 years = x + 27
It should be the difference of both of their ages i.e 46 - 19 = 27
x + 27 - x = 27
19 + 27 - 19 = 27
46 - 19 = 27
27 = 27
LHS = RHS.
For second case :-
- After 8 years she will be twice as old as Nilu
Ages after 8 years,
Nilu = 19 + 8 = 27 years
Mr (Mrs) Jain = 46 + 8 = 54 years
Mr (Mrs) Jain is twice the age of Nilu.
54 = 2 ( 27)
54 = 54
LHS = RHS.
Hence verified.
Wasn't really sure about the name Jain whether it's Mr or Mrs. So, I assumed both while answering
Let the present age of Nilu be x years
Therefore the present age of Nilu’s mother = (x + 27) years
So, after 8 years, Nilu’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 Nilu = x = 19 years
And the present age of Nilu’s mother that is Mrs Jain = x+ 27 = 19 + 27
= 46 years
THEREFORE,
Nilu's age = 19 years
Mrs Jain = 46 years