Question

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.”​

Answer 1

Answer:

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

Answer 2

Given :-

• Mom age is 6 years more than twice of Abhi's age.
• Papa’s age is two and half times of Abhi's age.
• sum of ages of both Mom and Papa is 5 years less than the age of grandfather.
• Abhi's age would be square of the smallest composite number after two years.

To Find :-

• Abhi’s age after 11 years would be ?
• Mr Ajit Singh age ?
• Grandfather's age ?

Solution :-

we know that,

• smallest composite number is 4 .

so,

→ Abhi's present age + 2 = (4)²

→ Abhi's present age + 2 = 16

→ Abhi's present age = 16 - 2

→ Abhi's present age = 14 years.

then,

→ Abhi’s age after 11 years would be = 14 + 11 = 25 years. (Ans.1)

now,

→ Mr Ajit Singh age = 2.5 * Abhi's age = 2.5 * 14 = 35 years. (Ans.2)

and,

→ Mrs. Ashu Singh age = 2 * Abhi's age + 6 = 2 * 14 + 6 = 34 years.

therefore,

→ Grandfather Present age = Mr Ajit Singh age + Mrs. Ashu Singh age + 5 = 35 + 34 + 5 = 74 years. (Ans.3)