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:
49 comments Page 2 of 5.

Abhijeet kumar singh said:   8 years ago
Let Sachin age is = x year and Rahul age is x+7 year.
Then we can calculate by using the given respective ratio 7:9.

= x/x+7=7/9 when we solve this equation we got 24.5.
(1)

Mamta said:   1 decade ago
Sachin = x.
Rahul = x+7.

x/x+7 = 7:9.

9x = 7x+49.
2x = 49.
x = 24.5.
(1)

Arun said:   1 decade ago
Ratio of their ages 7:9 ie, let the ratio of sachin & Rahul's present ages be 7x and 9x respectively and

As the question says Sachin is younger than Rahul by 7 yrs., we can write it as.,

9x = 7x + 7
2x = 7
x = 3.5

Therefore sachin's present age = 7x = 7*3.5 = 24.5 ans.
(1)

Pavi said:   5 years ago
Sachin and Rahul age be: 7x : 9x.

Gn, Sachin is seven yrs younger than Rahul
So, 9x -7 = 7,
X = 3.5.

By substituting x value in 7x we get an answer.
(1)

Prakash said:   4 years ago
Thank you @Anish.
(1)

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

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.

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?

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.

Punya said:   1 decade ago
R-S = 7.
S/R = 7/9.

Where R = 9S/7.

Substitute in first equation:

9S/7-S = 7.
S = 24.5 years.


Post your comments here:

Your comments will be displayed after verification.