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 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)

Mahesh Babu said:   8 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)

Ahmedshaon said:   9 years ago
Let Sachin's age be x years.

Then, Rahul's age = (x + 7) years, As Sachin is 7 years less than Rahul.

x / x + 7 = 7 / 9,
9x = 7x + 49,
2x = 49,
x = 24.5.

Hence, Sachin's age = 24.5 years.
(1)

Lili said:   9 years ago
Sachin is younger than Rahul by 7 years.

So,

Respective ratio 7:9, So different ratio is 2.

2 = 7

So, 1=(7/2) 3.5

Then 7:9

7 * 3.5 = 24.5.

And

9 * 3.5 = 31.5.

Ashwini said:   9 years ago
Here they given Sachin is younger than Rahul by 4 years then we need to take X-4 Minus because der said younger so. M does not get actual method can anyone please explain it.
(1)

Jilan said:   9 years ago
Let Sachin's age be 'x' years.

Then, Rahul's age = (x+7) years.

x/x+7 =7/9 =>x=24.5 years.

Karim mirazul said:   10 years 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:   10 years 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.


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