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Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 10)
Problems on Ages
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 5 of 5.
Lakshmi said:   1 decade ago
Sachin : Rahul.

7 : 9.
x : x+7.

Just do cross mul then it becomes 7(x+7) = 9x.
7x+49 = 9x.
2x = 49.
x = 24.5.
Kannan said:   1 decade ago
How can the answer be a fraction, you all answered algebraically ; but age cannot be fraction na? if D is right option then Sachin and Rahul should have same date of birth to have the question true. If so answer should be E ?
Balvendra singh said:   1 decade ago
7x + 7 = 9x.

So x = 7/2 = 3.5.

Now sachin age is 3.5x7 = 24.5.
Vinay said:   1 decade ago
How can I do this please show the steps. For the following problems.

1) @Sanjay is now 1/2 as old as his brother then. What is the present age of each boys?
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.
Satish choudhary said:   1 decade ago
7:9 difference in the ratio is 2. And we know that the diff. of age 7.

7/2 we get 3.5.
3.5*7 = 24.5.

So easy.
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.
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.
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