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 4 of 5.

Soys said:   1 decade ago
Let sachin age be x and rahul age be x+7.

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

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.

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.

Ashok said:   1 decade ago
9x-7 = 7x.
9x-7x-7 = 0.
2x-7 = 0.
2x = 7.
x = 7/2.
Sachin age = 7x = 7*7/2 = 49/2 = 24.5 yrs.

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.

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?

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

Pooja said:   1 decade ago
Sachin = x.
Rahul = x+7.
x/x+7 = 7/9.
9x = 7x + 49.
9x - 7x = 49.
2x = 49.
x = 24.5.

Akansha said:   6 years ago
Let Sachin's age be x.

And Rahul's age be x+7,
So, x/x+7=7/9,
9x=7x+49,
X=24.5.
(2)

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

x/x+7 = 7:9.

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


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