The ratio of the age of' Tina and Rakesh is 9 : 10 respectively. Ten years ago the ratio of their age was 4 : 5 respectively. What is the present age of Rakesh?

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BANK PO Exam (Indian Bank) 2010 click here to view all questions

The ratio of the age of' Tina and Rakesh is 9 : 10 respectively. Ten years ago the ratio of their age was 4 : 5 respectively. What is the present age of Rakesh?

A25 years

B20 years

C30 years

D24 years

Nithin ? Aug 14 '2022 at 21:22

Correct answer is: 20 years

Explanation:

Let the present age of Tina and Rakesh be 9x and 10x years respectively.

10 years ago.

\(=\Large \frac{9x-10}{10x-10}=\frac{4}{5}\)

\(\implies 45x - 50 = 40x - 40\)

\(\implies 5x = 10 \implies x = \frac{10}{5} = 2\)

Therefore, Rakesh's present age = 10x

\(=\Large 10 \times 2 = 20 \text{ years}\)

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Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?

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BANK PO Exam (Corporation Bank) 2009 click here to view all questions

Four years ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?

A15 yr

B20 yr

C16 yr

D24 yr

Nithin ? Aug 14 '2022 at 21:12

Correct answer: 16 yr

Explanation:

4 yr ago, let Ram's age = x yr and Shyam's age = \(\frac{3}{4}x\) yr

 

Now, Ram's present age = (x + 4) yr and Shyam's present age = (\(\frac{3}{4}x\)+4) yr
According to the question,
\(\large\frac{5}{6}(x + 4 + 4) = \left(\frac{3}{4}x + 4 + 4\right)\)

4 (5x + 40) = 6(3x + 32)

20x + 160 = 18x + 192

2x = 32

x = 16

Hence, present age of Shyam

\(= \large\frac{3}{4}\times 16 + 4\)

\(=16 \text{ yr}\)

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The present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father's age five years ago?

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BANK PO Exam (Andhra Bank) 2009 click here to view all questions

The present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father's age five years ago?

A 40 yr

B45 yr

C30 yr

D35 yr

Nithin ? Aug 14 '2022 at 21:1

Correct answer is: 35 yr

Explanation:

Suppose the present age of Amit and his father is 2x and 5x respectively.
After 4 years the ratio of their ages,

(2x+4):(5x+4)= 5:11
\(25x + 20 = 22x+44\)

\(25x-22x=44-20\)

\(3x=24\)

\(x=8\)

Age of his father before 5 years

\(=5x-5\)

\(=5 \times 8 -5\)

\(= 40 - 5\)

= 35 yr

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Ratio of Rams and Komars age is 3 : 5 respectively. Ratio of Komal's and Pooja's age is 2 : 3 respectively. If Rani is two-fifth of Pooja's age. what is Rani's age?

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BANK PO Exam (Indian Overseas Bank) 2009 click here to view all questions

Ratio of Rams and Komars age is 3 : 5 respectively. Ratio of Komal's and Pooja's age is 2 : 3 respectively. If Rani is two-fifth of Pooja's age. what is Rani's age?

A10 years

B15 years

C24 years

DCannot be determined

Nithin ? Aug 14 '2022 at 16:38

Correct answer is: Cannot be determined

Explanation:

Rani : Komal = \(3 : 5 = 6 : 10\)

Komal : Pooja = \( 2 : 3 = 10 : 15\)

Therefore, Rani : Kornal : Pooja = \(6 : 10 : 15\)

We have insufficient data to solve this question.

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The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father's present age?

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BANK PO Exam (UCO Bank) 2009 click here to view all questions

The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father's present age?

A64 yrs

B51 yrs

C48 yrs

DCannot be determined

Nithin ? Aug 14 '2022 at 15:52

Correct answer is: 51 yrs

Explanation:

Let the present age of father and son be 17x years and 7x years respectively.

According to the question,

\(\Large \frac{17x-6}{7x-6}=\frac{3}{1}\)
\(\implies 21x - 18 = 17x - 6\)
\(\implies 21x - 17x = 18 - 6\)

\(\implies 4x = 12\)

\(=> x = \frac{12}{4} = 3\)

\(\text{Therefore, Father's present age} = 17×3 = 51 \text{ years}\)

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The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their ages will be 13 : 9. What is the difference in years between their ages?

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BANK PO Exam (Oriental Bank of Commerce) 2008 click here to view all questions

The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their ages will be 13 : 9. What is the difference in years between their ages?

A4 years

B12 years

C6 years

DNone of these

Nithin ? Aug 14 '2022 at 15:40

Correct answer is: None of these

Explanation:

The age of Sonal and Nitya are in the ratio of 9:5 respectively

Let x be an arbitrary constant,

Age of Sonal is 9x and age of Nitya is 5x.

After 8 years the ratio of their age is 13 : 9

Now,

After 8 years Sonal’s age will be (9x + 8)

After 8 years Nitya’s age will be (5x + 8)

According to the question

\(\frac{{\left( {9x\; + \;8} \right)}}{{\left( {5x\; + \;8} \right)}}\; = \;\frac{{13}}{9}\)

\(⇒ 81x + 72 = 65x + 104\)

\(⇒ 16x = 32\)

\(⇒ x = 2\)

Sonal’s age is 9 × 2 = 18 years

Nitya’s age is 5 × 2 = 10 years

And their age difference is (18 - 10) years = 8 years

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The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages ?

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The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages ?

A4 years

B5 years

C6 years

D7 years

Nithin ? Aug 14 '2022 at 11:47

Correct answer is: 5 years

Explanation:

Let Sulekha age be 9 year,
Then Arunima's age = 8x years

\(\eqalign{ & \frac{{9x + 5}}{{8x + 5}} = \frac{{10}}{9} \cr & \Rightarrow 9\left( {9x + 5} \right) = 10\left( {8x + 5} \right) \cr & \Rightarrow 81x + 45 = 80x + 50 \cr & \Rightarrow x = 5 \cr}\)

Difference in their ages
= (9x - 8x) years
= x years
= 5 years

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