Abhi is the only child of Mr.Ajit Singh and Ashu Singh. They live in a joint family at Jabalpur. One day he is getting bore at home. Suddenly an idea came to his mind and he began to note down the ages of his family members. For 15 minutes, he was thinking about the ages of his mother, father, grandfather and his own. Then he jumped into the relationship among the ages of the family members He went to his mother and said "Mom, your age is 6 years more than twice of mine. Papa's age is two and half times of my age. You know that the sum of ages of both of you is 5 years less than the age of grandfather. You know Mom, my age would be square of the smallest composite number after two years."
Question:1) Mr.Ajit Singh's age after 1 year would be
A) 34 years
B) 35 years
C) 36 years
D) 37 years
Question:2) What was the age of Abhi's mother when he was born?
A) 20 years
B) 25 years
C) 30 years
D) 35 years
Answers
Answer:
34)
30)
Step-by-step explanation:
I hope it is right
Given: Ashu's age is 6 years more than twice of Abhi
Ajit's age is 2.5 times Abhi's
Grandpa's age - 5 = Ashu's age + Ajit's age
After two years, Abhi's age would be square of the smallest composite number
To Find: 1) Ajit's age after 1 year
2) Ashu's age when Abhi was born
Solution:
Let Abhi's age be a
Ashu's age = 2a + 6
Ajit's age = 2.5a
Grandpa's age - 5 = 2a + 6 + 2.5a
Grandpa's age = 5.5a + 6 + 5
Grandpa's age = 5.5a + 11
Abhi's age after 2 years = Abhi's present age + 2
= a + 2
Abhi's age after 2 years = square of the smallest composite number
The smallest composite number is 4
Abhi's age after 2 years =
= 16
a + 2 = 16
a = 16-2
a = 14, Abhi's age is 14 years
1) Ajit's present age = 2.5a
= 2.5 x 14
= 35
Ajit's age after 1 year = Ajit's present age + 1
= 35 + 1
= 36 years
Therefore, Ajit's age after 1 year is c) 36 years.
2) Ashu's present age = 2a + 6
= 2(14) + 6
= 28 + 6
= 34 years
Abhi is 14 years old now,
Ashu's age when Abhi was born = Ashu's present age - 14
= 34 - 14
= 20 years.
Therefore, Ashu's age when Abhi was born was a)20 years.