# Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 5)

5.

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

Answer: Option

Explanation:

Let the present ages of Sameer and Anand be 5*x* years and 4*x* years respectively.

Then, | 5x + 3 |
= | 11 |

4x + 3 |
9 |

9(5*x* + 3) = 11(4*x* + 3)

45*x* + 27 = 44*x* + 33

45*x* - 44*x* = 33 - 27

*x* = 6.

Anand's present age = 4*x* = 24 years.

Discussion:

72 comments Page 1 of 8.
Melvin n. Kwaibiah said:
10 months ago

Very helpful. Thanks, everyone for explaining the answer.

(2)

Pankaj said:
1 year ago

best tricks for this type of question;

5 :4.

11:9.

4(years Anand age question ask Anand age then multiply)*3(years hence)*2(11-9=2)/(5*9 cross multiply) - (11*4 cross multiply) = 24.

So, the answer = 24.

5 :4.

11:9.

4(years Anand age question ask Anand age then multiply)*3(years hence)*2(11-9=2)/(5*9 cross multiply) - (11*4 cross multiply) = 24.

So, the answer = 24.

(3)

Ankush tiwari said:
2 years ago

Always we have to assume (in ratio problem): X.

And according to the question the present age is = 5X/4X.

And;

According to the question 3 year hence so we can write in form as 5X + 3/4X + 3.

And our next step will be according to the question said the ratio will become 11/9.

So we can write'

5x+ 3/4x+3 = 11/9.

After solving equations

45x + 27 = 44x + 33 and then;

X = 6. After solving that equations

And put the value in Anand age so;

The question will be;

4x = 4*6 = 24 that is final answer.

And according to the question the present age is = 5X/4X.

And;

According to the question 3 year hence so we can write in form as 5X + 3/4X + 3.

And our next step will be according to the question said the ratio will become 11/9.

So we can write'

5x+ 3/4x+3 = 11/9.

After solving equations

45x + 27 = 44x + 33 and then;

X = 6. After solving that equations

And put the value in Anand age so;

The question will be;

4x = 4*6 = 24 that is final answer.

Alekhya said:
2 years ago

We can also use the formula qt(r-s)/ps-qr where p,q,r,s are given ratios 5:4, 11:9 respectively and t= years given.

4(3)(11-9)/5(9)-4(11) = 12(2)/45 - 44 = 24.

Formula: The ratio of present ages of A and B is p:q and after t years, the ratio is r:s, then

A's present age = pt(r-s)/ps-qr.

B's present age = qt(r-s)/ps-qr.

4(3)(11-9)/5(9)-4(11) = 12(2)/45 - 44 = 24.

Formula: The ratio of present ages of A and B is p:q and after t years, the ratio is r:s, then

A's present age = pt(r-s)/ps-qr.

B's present age = qt(r-s)/ps-qr.

(1)

Harshitha.p said:
3 years ago

At last, they have multiplied with 4 that is 4x because they have considered the present age of Anand is 4x we have been asked to find present age of Anand that's why we have multiplied with 4 and we know x=6.

So, 4 * 6 = 24.

So, 4 * 6 = 24.

Shaik hashma said:
4 years ago

Here, the present ratio is 5: 4, 5x:4x then after 3years means 5x+3/4x+3equalto 11/9 if we cross multiply this we got X value is 6 then substitute in 4x then 4*6 then 24.

Kumar said:
4 years ago

According to me, it is X=6.

Why multiply by 4(5:4)?

When the current ratio leads to multiplying by 9 (11:9), where they have asked to find the present age of Anand after 3years.

Why multiply by 4(5:4)?

When the current ratio leads to multiplying by 9 (11:9), where they have asked to find the present age of Anand after 3years.

HARIPRASAD K N said:
4 years ago

Here 5:4 is taken with x variable 5X/4X but why the ratio after 3 years 11:9 is not taken with variable x as 11X/9X. Please clarify.

Deepanshu said:
4 years ago

The ratio of their present age is 5:4.

After 3 years, the ratio become 11:9.

Now, the difference is not equal which is 6:5 this ratio should be equal whenever to ask such a question. When equal their ratio new ratio is;

10:8

And 11:9.

Then; 1=3.

And asked is 8*3=24.

After 3 years, the ratio become 11:9.

Now, the difference is not equal which is 6:5 this ratio should be equal whenever to ask such a question. When equal their ratio new ratio is;

10:8

And 11:9.

Then; 1=3.

And asked is 8*3=24.

(1)

Kplakshmi said:
5 years ago

@ Sonu.

The ratio means short answer of fraction eg: 20/25 short answer is 4/5 so we can write in the form of 4x/5x.

~ the fraction of numerator and denominators are divided by the same number that's called x

P/Q=3x/4x(presentratio) Q's present age is 20.

4x =20 ; => x= 5.

after 5 years, (3x+5/4x+5) = 20/25.

Then the ratio is 4/5.

The ratio means short answer of fraction eg: 20/25 short answer is 4/5 so we can write in the form of 4x/5x.

~ the fraction of numerator and denominators are divided by the same number that's called x

P/Q=3x/4x(presentratio) Q's present age is 20.

4x =20 ; => x= 5.

after 5 years, (3x+5/4x+5) = 20/25.

Then the ratio is 4/5.

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