Phrases Previous Year Questions (PYQs) – Age – Page 1 of 2

Present Age of the Mother

Let mother’s present age = $M$, person’s present age = $P$.
Given:
$P=\frac{2}{5}M$ ...(1)
After 8 years:
$P+8=\frac{1}{2}(M+8)$ ...(2)

Substitute $P$ from (1) into (2):
$$\frac{2}{5}M+8=\frac{1}{2}(M+8)$$ Multiply both sides by 10 to clear denominators:
$$4M+80=5M+40$$ $$80-40=5M-4M$$ $$40=M$$

Answer: The mother’s present age is 40 years.

Average Age of Anu and Dhanu

Let the ages be:
Anu = $A$, Bhanu = $B$, Chanu = $C$, Dhanu = $D$

Given:
1) $A+B=10+B+C+D\Rightarrow A=10+C+D$
2) Average age of Chanu and Dhanu = 19
$\Rightarrow \frac{C+D}{2}=19\Rightarrow C+D=38$
3) Dhanu is 10 years elder than Chanu:
$D=C+10$

Substitute $D$ in $C+D=38$:
$$C+(C+10)=38\Rightarrow 2C=28\Rightarrow C=14$$ $$D=14+10=24$$

Now, $A=10+C+D=10+14+24=48$

Average age of Anu and Dhanu:
$$\frac{A+D}{2}=\frac{48+24}{2}=\frac{72}{2}=36$$

Answer: The average age of Anu and Dhanu is 36 years.

Given:

• Arjun is 25 years younger than his mother.
• Arjun’s brother was born in 1964 and is 35 years younger than their mother.

We want: Arjun’s birth year.

Step 1: Calculate the mother's birth year:

$$1964+35=1999$$ So, the mother was born in 1999.

Step 2: Arjun is 25 years younger than his mother:

$$1999-25=1974$$ Therefore, Arjun was born in 1974.

✅ Final Answer: Arjun was born in 1974