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 bored 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 age of his mother, father, grandfather and his own. Then he jumped into the relationship among the age of the family members. Abhi's father is 49 years old. He is 5 years older than four times Abhi's age. Mother’s age is three times of Abhi's age. You know that the sum of ages of both of parents is 5 years less than the age of grandfather. 1.) what is abhi age? 2.) what is mother"s age? 3.) grandfather"s age is:. (pls tell)​

Answer 1

Answer:

• 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 = (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=74years (ans3)

Answer 2

Given:

Abhi is an only child of his parents.

Age of Abhi's father = 49 years

Abhi's father's age = 5 + 4 × Abhi's age

Abhi's mother's age = 3 × Abhi's age

Father's age + Mother's age = Grandfather's age - 5

To find:

Age of Abhi

Age of Abhi's mother

Age of Abhi's grandfather

Solution:

Let age of Abhi be $A$.

Let age of Abhi's father be $F$.

Let age of Abhi's mother be $M$.

Let age of Abhi's grandfather be $G$.

On formulating the given information,

$F=5+4A...(1)$

$M=3A...(2)$

$F+M=G-5...(3)$

$F=45$

Substituting this value in equation (1)

$F=5+4A$

$45=5+4A$

$45-5=4A$

$40=4A$

$\frac{40}{4}=A=10$

∴ Age of Abhi is 10 years.

Substituting this value in equation (2)

$M=3A$

$M=3*10=30$

∴ Age of Abhi's mother is 30 years.

Substituting this value in equation (3)

$F+M=G-5$

$45+30=G-5$

$75=G-5$

$75+5=G=80$

∴ Age of Abhi's grandfather is 80 years.

Age of Abhi is 10 years.

Age of Abhi's father is 45 years.

Age of Abhi's mother is 30 years.

Age of Abhi's grandfather is 80 years.