Let Rita’s age 2 years ago = y years
Pushpa is twice as old as Rita was 2 years ago.
∴ Pushpa’s present age = 2y years
According to the question,
⇒ 2y – (y + 2) = 2
⇒ y – 2 = 2 ⇒ y = 4 years

Correct Option: B

Let Rita’s age 2 years ago = y years
Pushpa is twice as old as Rita was 2 years ago.
∴ Pushpa’s present age = 2y years
According to the question,
⇒ 2y – (y + 2) = 2
⇒ y – 2 = 2 ⇒ y = 4 years
∴ Pushpa’s present age = 2 × 4 = 8 years

According to the question,
Sum of the present ages of husband, wife and child = 3 × (27 + 3)
Sum of the present ages of husband, wife and child = 3 × 30 years = 90 years
Sum of the presents age of wife and child = 2(20 + 5) = 50 years

Correct Option: B

According to the question,
Sum of the present ages of husband, wife and child = 3 × (27 + 3)
Sum of the present ages of husband, wife and child = 3 × 30 years = 90 years
Sum of the presents age of wife and child = 2(20 + 5) = 50 years
∴ Husband’s present age = Sum of the present ages of husband, wife and child - Sum of the presents age of wife and child
Hence , Husband’s present age = 90 – 50 = 40 years

Here , The average age of 5 members = 28 years.
Age of replaced one member = 20 years
Sum of the ages of 4 members of family = (28 × 5 – 20) years
Sum of the ages of 4 members of family = (140 – 20) years = 120 years

Correct Option: C

Here , The average age of 5 members = 28 years.
Age of replaced one member = 20 years
Sum of the ages of 4 members of family = (28 × 5 – 20) years
Sum of the ages of 4 members of family = (140 – 20) years = 120 years
∴ Required average = 120 ÷ 4 = 30 years

Given that , The average age of mother and her six children = 12 years
⇒ Total age of ( Mother + 6 children ) = 12 × 7 = 84 years
On excluding mother , The average age of six children = 7 years ( = 12 - 5 )
⇒ Total gge of 6 children = 6 × 7 = 42 years

Correct Option: D

Given that , The average age of mother and her six children = 12 years
⇒ Total age of ( Mother + 6 children ) = 12 × 7 = 84 years
On excluding mother , The average age of six children = 7 years ( = 12 - 5 )
⇒ Total gge of 6 children = 6 × 7 = 42 years
∴ Mother’s age ⇒ 84 – 42 = 42 years

Age of new teacher = 25 years
Joining a new teacher , the average age of the teachers reduces by 3 years.
Total decrease average = 3 × 10
Age of the retired teacher = Age of new teacher + Total decrease average

Correct Option: A

Age of new teacher = 25 years
Joining a new teacher , the average age of the teachers reduces by 3 years.
Total decrease average = 3 × 10
Age of the retired teacher = Age of new teacher + Total decrease average
∴ Age of the retired teacher = (25 + 3 × 10) years = 55 years