Question

Neha's present age is 3rd of her aunt's present age. Neha's brother is 18 years
older to Neha. The respective ratio between the present ages of Neha's brother
and Neha's aunt is 17:24. What is Neha's present age ?
1) 24 years
2) 14 years
3) 26 years
4) 18 years
A rect
5) 16 years​

Answer 1

Answer:

so neha's present age is 5 years

Step-by-step explanation:

Let Nisha's age is x years

Aisha's age = (x² + 2) years

Now, A/C to question , when Nisha grows to her mother present age .means Nisha's grows = Aisha's present age - Nisha's present age = x² + 2 - x

Then, this time Aisha's age = Aisha's present age + growing time = x² + 2 + x² + 2 - x = 2x² - x + 4

Now, question said , Aisha's age = 10× times of Nisha's age -1

2x² - x + 4 = 10x -1

2x² - 11x + 5 = 0

2x² -10x - x + 5 = 0

x = 5 and 1/2 x ≠ 1/2 because age doesn't in moths

Hence , Nisha's present age = 5 years

Aisha's present age = (5)² + 2 = 27 years

Answer 2

Given :-

• Neha's age is ⅓ rd of her aunt's age
• Neha's brother is 18 years older than Neha
• The ratio of the brother's and aunt's age is 17:24

Aim :-

• To find Neha's present age.

Answer :-

Let us assume Neha's aunt's present age to be y.

According to the question,

Neha's age :-

$\implies \sf \dfrac{1}{3} \times y$

$\implies \sf \dfrac{y}{3}$

Neha's brother's age :-

Neha's brother is 18 years more than Neha. Hence,

$\implies \sf \cfrac{y}{3} + 18$

Taking LCM as 3,

$\implies \sf \dfrac{y +54 }{3}$

Ratio :-

Ratio is the comparison between two or more quantities in it's simplest form.

The ratio of Neha's brother and aunt's age is given as 17:24

$\implies \sf \dfrac{ \dfrac{y + 54}{3} }{y} = \dfrac{17}{24}$

$\implies \sf \dfrac{y + 54}{3} \div y = \dfrac{17}{24}$

$\implies \sf \dfrac{y + 54}{3} \times \dfrac{1}{y} = \dfrac{17}{24}$

$\implies \sf \dfrac{y + 54}{3y} = \dfrac{17}{24}$

By cross multiplication,

$\implies \sf24(y + 54) = 17(3y)$

$\implies \sf 24y + 1286 = 51y$

Transposing 24y,

$\implies \sf1286 = 51y - 24y$

$\implies \sf 1286 = 27y$

Transposing 27,

$\dfrac{1286}{27} = y$

$\implies \sf 48 = y$

Now that we have the value of y, Neha's age will be ⅓ that of y.

Neha's age :-

$\implies \sf \dfrac{1}{3} \times 48$

Reducing to the lowest terms we get :-

$\implies \sf 16 \: years$

Verification :-

Let us verify the answer by seeing the brother's and aunt's ratio matches or not.

Neha's brother's age = 16 + 18 => 34 years

RATIO :-

$\dfrac{34}{48} = \dfrac{17}{24}$

LHS :-

=> 34 : 48

reducing to the lowest terms (dividing by the common factor 2)

=> 17:24

RHS :-

=> 17:24

LHS = RHS

Hence Verified

Option (5) 16 years is correct ✓