Question

Abhi is thee only child of Mr Arjit Singh and Mrs Ashu Singh. They live in a joint family in Jabalpur. One day is was getting bore at home. Suddenly an idea came to his mind and he began to note down the ages of the family members. For 15 min he was thinking the age 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 mom and said " Mom your age is six years more than twice of my age. Papa's age is two and half times of mine. You know that the sum of ages of you both is 5 years less than the grandfather. You know Mom, my age would be square of the smallest composite number after two years."
1. What would be Abhi’s age after 11 years?
2. What would be Mr.Ajit Singh’s age after 1 year?
3. What would be Grandfather’s age?
4. What was the age of Abhi’s mother when he was born?​

Answer 1

Answer:

abhi's age= sq of smallest composite no-2

(4)2-2

=16-2=14 yr

1. age of abhi after 11 yrs=25yrs

age of ajit singh= 2.5×age of abhi

=2.5×14=35

2.age of ajit singh after one yr= 36 yrs

let the age of grandfather be g

age of mother + age of father= age of grandfather+ 5

2×14+6+35=g+5

69=g+5

g= 64yrs

3.age of grandfather= 64yrs

4. age of anhi' s mother when he was born= 34-14 = 20 yrs