Question

5 Asad is 5 years older than Raees and Kaleem is thrice as old as Asad.
If Raees is 'y' years old, find
1.
Asad's present age,
​

Answer 1

Since this is a multiple choice question, you can easily deduce the answer from the choices.

If Aslam is 10 years old now, that means Javed would be 3 years old. Since Javed would not be born 5 years ago, this alternative is false.
If Aslam is 12 years old, Javed would be 4 years old. Same reasoning as above.
If Aslam is 24 years old, Javed would then be 8 years old. Five years ago, Aslam would be 19 and Javed would be 3. 3 times 5 is 15, which is not Aslams age, so this is false.
If Aslam is 30 years old, Javed would then be 10 years old. Five years ago, Aslam would be 25 and Javed would be 5. 5 times 5 is 25, which is Aslams age, so this is true.
If Aslam is 36 years old, Javed would then be 12 years old. Five years ago, Aslam would be 31 and Javed would be 7. 5 times 7 is 35, which is not Aslams age. This is false.
Or, the algebraic version. Suppose Aslam is currently x years old, and Javed is currently y years old. Then we are told that Aslam is three times as old as Javed now:

x = 3y (1)

And also, that five years ago Aslam was five times as old as Javed:

x - 5 = 5(y - 5) (2)

Two equations, two unknowns - this means the equation will have one to no solution. Focusing on the second equation, we can find y easily, since x = 3y:

3y - 5 = 5y - 25
2y = 20
y = 10

Then, x has to be 30, the correct answer is therefore 30.

Answer 2

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