Question Details

The present age of A is three times that of B. If the difference between their ages is 22 years, then find the age of A (in yeas).

Options

A

33

B

30

C

44

D

55

E

39

Show Answer

Correct Answer :

Option A

33

Solution :

The correct option is 33.

Step-by-Step Explanation:

Step 1: Define the variables for their present ages.
Let the present age of B be x years.
According to the question, the present age of A is three times that of B.
Therefore, the present age of A = 3x years.

Step 2: Formulate the equation using the given difference in ages.
We are given that the difference between their ages is 22 years.
3x-x=22

Step 3: Solve for x.
2x=22

x=222

x=11

So, the present age of B is 11 years.

Step 4: Calculate the present age of A.
The present age of A = 3x=3×11=33 years.

Thus, the present age of A is 33 years.

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