Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 10)
10.
Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
16 years
18 years
28 years
24.5 years
None of these
Answer: Option
Explanation:

Let Rahul's age be x years.

Then, Sachin's age = (x - 7) years.

x - 7 = 7
x 9

9x - 63 = 7x

2x = 63

x = 31.5

Hence, Sachin's age =(x - 7) = 24.5 years.

Discussion:
50 comments Page 3 of 5.

Karim mirazul said:   1 decade ago
In question its said that Sachin is younger than Rahul.

So Sachin = x ages.

As per question, that means Rahul is 7 year elder than Sachin = x+7.

x/x+7 = 7/9.

9x = 7x+49.

2x = 49.

x = 24.5.

Prathyusha said:   1 decade ago
Can anyone explain me?

Father's age is 5 times the son's age means 5 (x) but why x+6?

Pardeshi said:   1 decade ago
My best way is that the ratios difference is 2.

So result is 7 years older so 1 ratio = 7/2 years, = 3.5 years.

So Sachin's age is from ratio = 3.5*7 = 24.5 answer.

Gowthami said:   1 decade ago
Present age of Rahul is x.

Sachin is 7 years older than Rahul so x+7.

Their ratio is 7:9.

x/x+7 = 7/9 cross multiplication is 9x = 7x+49.

9x-7x = 2x. So x = 49/2 = 24.1/2 = 24.5.

So this is my suggestion I hope you all are clear with that.

PRABIR said:   1 decade ago
Friends.

Sachin is younger than Rahul 7 years.

Their ratio is 7:9.

Let Sachin = 7.
Rahul = 9.

Their difference = 2.

Now 2 is difference is 7.

1 is = 7/2 = 3.5.

Sachin is 7 = 7*3.5 = 24.5.

Kinjal said:   1 decade ago
Here Rahul should suppose to b "X".

V S Nayak said:   1 decade ago
Hello Everyone.

All answers and methods are correct but the way you guys solved in different way thats your intelligent.

Affrin said:   2 decades ago
"lesser age" represent --> younger
"older" --> it represent the current age

Anish said:   2 decades ago
Simple method..

Let the peresent ages of sachin and rahul be 7x and 9x
sachin is younger than rahul in 7 years
So 9x-7x=7

2x=7

x=3.5

Sachins age= 7x= 7*3.5=24.5

Rupali said:   2 decades ago
if sachin is younger than rahul, this means that his age is less than rahul,i.e. >7


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