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.

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)

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)

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)

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.

Refrist said:   6 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.

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.

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?


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