Question

Mr jainis27 years older than her daughter nilu after 8 years she will be twice as old as nilu find their present ages

Answer 1

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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.

$\bf{\huge{\underline{\boxed{\rm{\purple{Verification:}}}}}}$

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

Answer 2

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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

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