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:
48 comments Page 3 of 5.

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.

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

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.

Ramya devi said:   1 decade ago
Let us assume sachin's age be x and rahul's age be x+7, then.

x/x+7 = 7/9.

9x = 7(x+7).

9x = 7x+49.

9x-7x = 49.

2x = 49.

x = 49/2.

x = 24.5 This is the simplest and easiest to solve.

Affrin said:   1 decade ago
"lesser age" represent --> younger
"older" --> it represent the current age

Anish said:   1 decade 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:   1 decade ago
if sachin is younger than rahul, this means that his age is less than rahul,i.e. >7

Vanita Sawant said:   1 decade ago
Hey guys i've another method 2 solve d same problem

Let Sachin's age be 'x' years
Therefore, Rahul's age will be x+7 years

x + 7 = 9
x 7


7(x+7)=9x
7x+49=9x
2x=49
x=24.5

Hence Sachin's is 24.5 years old

Mrs pallavi said:   1 decade ago
Hey vanita you are correct good I also solved my problem as like you.


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