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:
51 comments Page 2 of 6.

Mahesh Babu said:   9 years ago
Lets Sachin's age is x years.
And Rahul's age is y years,
Then x=y-7 because Sachin is younger than Rohit by 7 years it implies Sachin age is 7 years less Than Rohit,
In question, ages are in the 7:9.
So x/y=7/9,
9x=7y,
y=9x/7,

From the equation,
x=y-7.
substitute y=9x/7,
x=9x/7-7,
7x=9x-49,
2x=49,
So x=24.5.
So, Sachin's age =24.5 years.
(1)

Abhijeet kumar singh said:   9 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)

Pavi said:   6 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)

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)

Prakash said:   5 years ago
Thank you @Anish.
(1)

Shiv said:   9 months ago
R = S+7.
R -S = 7.
9x - 7x = 7.
x = 7/2.
Sachin's age = 7x.
= 7 * 7/2 = 24.5.
(1)

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.

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?

Refrist said:   7 years ago
Let Rahul age be x.
Sachin age be x+7.

Then thier ratio is x/x+7=7/9.
9x=7x +49.
X = 24.


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