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 5x years and 4x years respectively.
| Then, | 5x + 3 | = | 11 |
| 4x + 3 | 9 |
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6.
Anand's present age = 4x = 24 years.
Discussion:
77 comments Page 2 of 8.
OSAMA SOHAIL said:
2 years ago
Let the present age of Sameer and Anand be x and y.
x:y=5:4.
therefore,
x/y = 5/4.
x=5y/4 ----> (1).
After 3 years ratio becomes:
x+3 : y+3 = 11:9.
x+3/y+3 = 11/9.
By cross multiplying.
9 (x+3) = 11 (y+3).
9x+27=11y+33.
9x-11y = 5.
put x=5y/4 in above eq.
9 (5y/4) -11y =5.
45y-44y/4 = 5.
y = 5*4= 20.
put y in eq 1.
x = 5y/4 = 5 (20) /4 =25.
balancing the condition 25/20 = 5/4 or 5 :4.
x:y=5:4.
therefore,
x/y = 5/4.
x=5y/4 ----> (1).
After 3 years ratio becomes:
x+3 : y+3 = 11:9.
x+3/y+3 = 11/9.
By cross multiplying.
9 (x+3) = 11 (y+3).
9x+27=11y+33.
9x-11y = 5.
put x=5y/4 in above eq.
9 (5y/4) -11y =5.
45y-44y/4 = 5.
y = 5*4= 20.
put y in eq 1.
x = 5y/4 = 5 (20) /4 =25.
balancing the condition 25/20 = 5/4 or 5 :4.
(2)
Gangadhararao said:
1 decade ago
5 children, youngest 3yrs old and no 2 children have the same age, sum of their age is 26. Find the age of eldest.
Give me explanation.
Give me explanation.
(1)
Kumar said:
6 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.
(1)
HARIPRASAD K N said:
7 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.
(1)
Ankush tiwari said:
4 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.
(1)
Vinitha said:
1 decade ago
@Samuel.
How can we use this formula bt(c-d)/(ad-bc)?
How can we use this formula bt(c-d)/(ad-bc)?
(1)
Deepthi said:
8 years ago
Can we do like this?
5x+3=11x
4x+3=9x
===>
20x+15=45x
20x+12=44x
===>
3=x
Is this right?
5x+3=11x
4x+3=9x
===>
20x+15=45x
20x+12=44x
===>
3=x
Is this right?
(1)
Satish said:
8 years ago
Let me explain this in a simple procedure. The First ratio is 5:4.
We have to find Anand age after 3yrs.
Second ratio 11:9
So add 3 to both the numbers.y we r adding 3 is in question they gave after 3yrs
So the new ratio is 14:12
First ratio is 5:4.
New ratio is 14:12.
In this Anand age ratio is 4 AND 12.
Now check the option which is exactly divisible by both the numbers and that's the answer.
We have to find Anand age after 3yrs.
Second ratio 11:9
So add 3 to both the numbers.y we r adding 3 is in question they gave after 3yrs
So the new ratio is 14:12
First ratio is 5:4.
New ratio is 14:12.
In this Anand age ratio is 4 AND 12.
Now check the option which is exactly divisible by both the numbers and that's the answer.
(1)
Sonu said:
8 years ago
The ratio between presents ages of Pand Q is 3:4 respectively. If Q, s present age is 20 years, what will be the ratio of ages after 5 years?
Can anyone solve this?
Can anyone solve this?
(1)
Vivek said:
8 years ago
Thanks for the given explanation.
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