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?
24
27
40
Cannot be determined
None of these
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.

Rk333 said:   1 decade ago
Here Sameer age & Anand age are assigned to x.

How is it possible? why we can't take two variables?

Kishan said:   1 decade ago
Can any one tell me how to read 4x and 5x. In both value we can assign same variable? Is it possible?

Srini said:   1 decade ago
Can some one give short cut to solve this ?

Murugan K said:   1 decade ago
5 years ago A age was 3 times as old as B . If A is 30years older than B .The present age of A?

Agila said:   1 decade ago
Given Ratio 5:4----->(1)
Difference between the ratio is 1
After three years 11:9---->(2)
Difference between the ratio is 2
Both the ratio difference are not same.

So muliply (1) by 2, we get 10:8
||ly multiply (2) by 1, we get 11:9. now the difference are same
Anand's present age=8*3=24 years

Vinothini said:   1 decade ago
I hope my solution will help you...

Now Sameer age be x, Anand be y.

Ratio is x/y = 5/4 fine.... then 3 years after right, so x+3/y+3 = 11/9,

Then, will produce the eqn...4x=5y--------->1

9x+27=11y+33---------->2

We obtain that is x=5y/4, put into eqn 2,

9*5y/4-11y=33-27
45y-44y=6*4

y = 24 so simple friends.

Sameer said:   1 decade ago
@vinothini good method.

Sajid said:   1 decade ago
Remember @agila the ratio are not for a period.

Swathy said:   1 decade ago
Ratio after 3 yrs ,

5x+3 11
----- = --
4x+3 9

9(5x+3)=11(4x+3)
45x+27 = 44x+33
45x-44x+27=33
x+27=33
x=6.

Present age of anand=4*6 = 24.

Iti said:   1 decade ago
The total ages of the a, b and c 80 years. What was the total of their ages three year ago ?


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